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Finding the Fourth Proportional to 4,572.68, 6,854.70 and 4,153.64

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Solution

The fourth proportional to 4,572.68, 6,854.70 and 4,153.64 is: 6,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572.68 : 6,854.70 = 4,153.64 : x
  2. Step 2: Convert to fraction form
    4,572.68/6,854.70 = 4,153.64/x
  3. Step 3: Cross multiply
    4,572.68x = 6,854.70 × 4,153.64
  4. Step 4: Simplify right side
    4,572.68x = 28,471,956.11
  5. Step 5: Solve for x
    x = 28,471,956.11/4,572.68
  6. Step 6: Final answer
    x = 6,226.54

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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.