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Finding the Fourth Proportional to 4,731.84, 7,098.12 and 1,445.18

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Solution

The fourth proportional to 4,731.84, 7,098.12 and 1,445.18 is: 2,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.84 : 7,098.12 = 1,445.18 : x
  2. Step 2: Convert to fraction form
    4,731.84/7,098.12 = 1,445.18/x
  3. Step 3: Cross multiply
    4,731.84x = 7,098.12 × 1,445.18
  4. Step 4: Simplify right side
    4,731.84x = 10,258,061.06
  5. Step 5: Solve for x
    x = 10,258,061.06/4,731.84
  6. Step 6: Final answer
    x = 2,167.88

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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.