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Finding the Fourth Proportional to 5,625.98, 8,439.04 and 5,283.50

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Solution

The fourth proportional to 5,625.98, 8,439.04 and 5,283.50 is: 7,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.98 : 8,439.04 = 5,283.50 : x
  2. Step 2: Convert to fraction form
    5,625.98/8,439.04 = 5,283.50/x
  3. Step 3: Cross multiply
    5,625.98x = 8,439.04 × 5,283.50
  4. Step 4: Simplify right side
    5,625.98x = 44,587,663.90
  5. Step 5: Solve for x
    x = 44,587,663.90/5,625.98
  6. Step 6: Final answer
    x = 7,925.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.