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Finding the Fourth Proportional to 4,148.70, 5,732.49 and 3,316.27

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Solution

The fourth proportional to 4,148.70, 5,732.49 and 3,316.27 is: 4,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148.70 : 5,732.49 = 3,316.27 : x
  2. Step 2: Convert to fraction form
    4,148.70/5,732.49 = 3,316.27/x
  3. Step 3: Cross multiply
    4,148.70x = 5,732.49 × 3,316.27
  4. Step 4: Simplify right side
    4,148.70x = 19,010,484.61
  5. Step 5: Solve for x
    x = 19,010,484.61/4,148.70
  6. Step 6: Final answer
    x = 4,582.28

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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.