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Finding the Fourth Proportional to 4,641.30, 6,402.78 and 3,380.40

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Solution

The fourth proportional to 4,641.30, 6,402.78 and 3,380.40 is: 4,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.30 : 6,402.78 = 3,380.40 : x
  2. Step 2: Convert to fraction form
    4,641.30/6,402.78 = 3,380.40/x
  3. Step 3: Cross multiply
    4,641.30x = 6,402.78 × 3,380.40
  4. Step 4: Simplify right side
    4,641.30x = 21,643,957.51
  5. Step 5: Solve for x
    x = 21,643,957.51/4,641.30
  6. Step 6: Final answer
    x = 4,663.34

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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.