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Finding the Fourth Proportional to 5,572.60, 7,688.96 and 3,214.24

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Solution

The fourth proportional to 5,572.60, 7,688.96 and 3,214.24 is: 4,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.60 : 7,688.96 = 3,214.24 : x
  2. Step 2: Convert to fraction form
    5,572.60/7,688.96 = 3,214.24/x
  3. Step 3: Cross multiply
    5,572.60x = 7,688.96 × 3,214.24
  4. Step 4: Simplify right side
    5,572.60x = 24,714,162.79
  5. Step 5: Solve for x
    x = 24,714,162.79/5,572.60
  6. Step 6: Final answer
    x = 4,434.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.