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Finding the Fourth Proportional to 5,638,847.98, 7,781,402.02 and 3,060,473.40

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Solution

The fourth proportional to 5,638,847.98, 7,781,402.02 and 3,060,473.40 is: 4,223,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638,847.98 : 7,781,402.02 = 3,060,473.40 : x
  2. Step 2: Convert to fraction form
    5,638,847.98/7,781,402.02 = 3,060,473.40/x
  3. Step 3: Cross multiply
    5,638,847.98x = 7,781,402.02 × 3,060,473.40
  4. Step 4: Simplify right side
    5,638,847.98x = 23,814,773,896,916.27
  5. Step 5: Solve for x
    x = 23,814,773,896,916.27/5,638,847.98
  6. Step 6: Final answer
    x = 4,223,340.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.