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Finding the Fourth Proportional to 5,200.90, 7,785.15 and 3,742.90

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Solution

The fourth proportional to 5,200.90, 7,785.15 and 3,742.90 is: 5,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.90 : 7,785.15 = 3,742.90 : x
  2. Step 2: Convert to fraction form
    5,200.90/7,785.15 = 3,742.90/x
  3. Step 3: Cross multiply
    5,200.90x = 7,785.15 × 3,742.90
  4. Step 4: Simplify right side
    5,200.90x = 29,139,037.94
  5. Step 5: Solve for x
    x = 29,139,037.94/5,200.90
  6. Step 6: Final answer
    x = 5,602.69

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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.