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Finding the Fourth Proportional to 3,648.32, 5,472.99 and 1,182.35

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Solution

The fourth proportional to 3,648.32, 5,472.99 and 1,182.35 is: 1,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.32 : 5,472.99 = 1,182.35 : x
  2. Step 2: Convert to fraction form
    3,648.32/5,472.99 = 1,182.35/x
  3. Step 3: Cross multiply
    3,648.32x = 5,472.99 × 1,182.35
  4. Step 4: Simplify right side
    3,648.32x = 6,470,962.36
  5. Step 5: Solve for x
    x = 6,470,962.36/3,648.32
  6. Step 6: Final answer
    x = 1,773.68

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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.