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Finding the Fourth Proportional to 3,047.12, 4,565.88 and 2,224.40

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Solution

The fourth proportional to 3,047.12, 4,565.88 and 2,224.40 is: 3,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.12 : 4,565.88 = 2,224.40 : x
  2. Step 2: Convert to fraction form
    3,047.12/4,565.88 = 2,224.40/x
  3. Step 3: Cross multiply
    3,047.12x = 4,565.88 × 2,224.40
  4. Step 4: Simplify right side
    3,047.12x = 10,156,343.47
  5. Step 5: Solve for x
    x = 10,156,343.47/3,047.12
  6. Step 6: Final answer
    x = 3,333.10

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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.