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Finding the Fourth Proportional to 4,140.57, 6,210.87 and 1,062.57

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Solution

The fourth proportional to 4,140.57, 6,210.87 and 1,062.57 is: 1,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.57 : 6,210.87 = 1,062.57 : x
  2. Step 2: Convert to fraction form
    4,140.57/6,210.87 = 1,062.57/x
  3. Step 3: Cross multiply
    4,140.57x = 6,210.87 × 1,062.57
  4. Step 4: Simplify right side
    4,140.57x = 6,599,484.14
  5. Step 5: Solve for x
    x = 6,599,484.14/4,140.57
  6. Step 6: Final answer
    x = 1,593.86

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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.