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Finding the Fourth Proportional to 3,242.29, 4,832.59 and 3,057.74

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Solution

The fourth proportional to 3,242.29, 4,832.59 and 3,057.74 is: 4,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.29 : 4,832.59 = 3,057.74 : x
  2. Step 2: Convert to fraction form
    3,242.29/4,832.59 = 3,057.74/x
  3. Step 3: Cross multiply
    3,242.29x = 4,832.59 × 3,057.74
  4. Step 4: Simplify right side
    3,242.29x = 14,776,788.46
  5. Step 5: Solve for x
    x = 14,776,788.46/3,242.29
  6. Step 6: Final answer
    x = 4,557.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.