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Finding the Fourth Proportional to 3,537.12, 5,280 and 3,078.24

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Solution

The fourth proportional to 3,537.12, 5,280 and 3,078.24 is: 4,595.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.12 : 5,280 = 3,078.24 : x
  2. Step 2: Convert to fraction form
    3,537.12/5,280 = 3,078.24/x
  3. Step 3: Cross multiply
    3,537.12x = 5,280 × 3,078.24
  4. Step 4: Simplify right side
    3,537.12x = 16,253,107.20
  5. Step 5: Solve for x
    x = 16,253,107.20/3,537.12
  6. Step 6: Final answer
    x = 4,595.01

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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.