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Finding the Fourth Proportional to 6,180.16, 9,272.40 and 3,582.40

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Solution

The fourth proportional to 6,180.16, 9,272.40 and 3,582.40 is: 5,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.16 : 9,272.40 = 3,582.40 : x
  2. Step 2: Convert to fraction form
    6,180.16/9,272.40 = 3,582.40/x
  3. Step 3: Cross multiply
    6,180.16x = 9,272.40 × 3,582.40
  4. Step 4: Simplify right side
    6,180.16x = 33,217,445.76
  5. Step 5: Solve for x
    x = 33,217,445.76/6,180.16
  6. Step 6: Final answer
    x = 5,374.85

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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.