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Finding the Fourth Proportional to 3,730.76, 5,595.76 and 1,265.52

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Solution

The fourth proportional to 3,730.76, 5,595.76 and 1,265.52 is: 1,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.76 : 5,595.76 = 1,265.52 : x
  2. Step 2: Convert to fraction form
    3,730.76/5,595.76 = 1,265.52/x
  3. Step 3: Cross multiply
    3,730.76x = 5,595.76 × 1,265.52
  4. Step 4: Simplify right side
    3,730.76x = 7,081,546.20
  5. Step 5: Solve for x
    x = 7,081,546.20/3,730.76
  6. Step 6: Final answer
    x = 1,898.15

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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.