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Finding the Fourth Proportional to 3,735.14, 5,602.71 and 1,138.07

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Solution

The fourth proportional to 3,735.14, 5,602.71 and 1,138.07 is: 1,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.14 : 5,602.71 = 1,138.07 : x
  2. Step 2: Convert to fraction form
    3,735.14/5,602.71 = 1,138.07/x
  3. Step 3: Cross multiply
    3,735.14x = 5,602.71 × 1,138.07
  4. Step 4: Simplify right side
    3,735.14x = 6,376,276.17
  5. Step 5: Solve for x
    x = 6,376,276.17/3,735.14
  6. Step 6: Final answer
    x = 1,707.11

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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.