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Finding the Fourth Proportional to 4,706.38, 6,490.56 and 2,938.15

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Solution

The fourth proportional to 4,706.38, 6,490.56 and 2,938.15 is: 4,052.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.38 : 6,490.56 = 2,938.15 : x
  2. Step 2: Convert to fraction form
    4,706.38/6,490.56 = 2,938.15/x
  3. Step 3: Cross multiply
    4,706.38x = 6,490.56 × 2,938.15
  4. Step 4: Simplify right side
    4,706.38x = 19,070,238.86
  5. Step 5: Solve for x
    x = 19,070,238.86/4,706.38
  6. Step 6: Final answer
    x = 4,052.00

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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.