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Finding the Fourth Proportional to 5,248.32, 7,874.64 and 2,907.96

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Solution

The fourth proportional to 5,248.32, 7,874.64 and 2,907.96 is: 4,363.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.32 : 7,874.64 = 2,907.96 : x
  2. Step 2: Convert to fraction form
    5,248.32/7,874.64 = 2,907.96/x
  3. Step 3: Cross multiply
    5,248.32x = 7,874.64 × 2,907.96
  4. Step 4: Simplify right side
    5,248.32x = 22,899,138.13
  5. Step 5: Solve for x
    x = 22,899,138.13/5,248.32
  6. Step 6: Final answer
    x = 4,363.14

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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.