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Finding the Fourth Proportional to 4,725.84, 7,089.10 and 1,439.16

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Solution

The fourth proportional to 4,725.84, 7,089.10 and 1,439.16 is: 2,158.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.84 : 7,089.10 = 1,439.16 : x
  2. Step 2: Convert to fraction form
    4,725.84/7,089.10 = 1,439.16/x
  3. Step 3: Cross multiply
    4,725.84x = 7,089.10 × 1,439.16
  4. Step 4: Simplify right side
    4,725.84x = 10,202,349.16
  5. Step 5: Solve for x
    x = 10,202,349.16/4,725.84
  6. Step 6: Final answer
    x = 2,158.84

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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.