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Finding the Fourth Proportional to 3,701.40, 5,106.72 and 2,639.31

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Solution

The fourth proportional to 3,701.40, 5,106.72 and 2,639.31 is: 3,641.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.40 : 5,106.72 = 2,639.31 : x
  2. Step 2: Convert to fraction form
    3,701.40/5,106.72 = 2,639.31/x
  3. Step 3: Cross multiply
    3,701.40x = 5,106.72 × 2,639.31
  4. Step 4: Simplify right side
    3,701.40x = 13,478,217.16
  5. Step 5: Solve for x
    x = 13,478,217.16/3,701.40
  6. Step 6: Final answer
    x = 3,641.38

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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.