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Finding the Fourth Proportional to 4,349.64, 6,524.54 and 1,062.76

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Solution

The fourth proportional to 4,349.64, 6,524.54 and 1,062.76 is: 1,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.64 : 6,524.54 = 1,062.76 : x
  2. Step 2: Convert to fraction form
    4,349.64/6,524.54 = 1,062.76/x
  3. Step 3: Cross multiply
    4,349.64x = 6,524.54 × 1,062.76
  4. Step 4: Simplify right side
    4,349.64x = 6,934,020.13
  5. Step 5: Solve for x
    x = 6,934,020.13/4,349.64
  6. Step 6: Final answer
    x = 1,594.16

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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.