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Finding the Fourth Proportional to 3,480.47, 5,221.35 and 1,140.27

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Solution

The fourth proportional to 3,480.47, 5,221.35 and 1,140.27 is: 1,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.47 : 5,221.35 = 1,140.27 : x
  2. Step 2: Convert to fraction form
    3,480.47/5,221.35 = 1,140.27/x
  3. Step 3: Cross multiply
    3,480.47x = 5,221.35 × 1,140.27
  4. Step 4: Simplify right side
    3,480.47x = 5,953,748.76
  5. Step 5: Solve for x
    x = 5,953,748.76/3,480.47
  6. Step 6: Final answer
    x = 1,710.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.