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Finding the Fourth Proportional to 5,097.04, 7,643.19 and 2,989.30

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Solution

The fourth proportional to 5,097.04, 7,643.19 and 2,989.30 is: 4,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.04 : 7,643.19 = 2,989.30 : x
  2. Step 2: Convert to fraction form
    5,097.04/7,643.19 = 2,989.30/x
  3. Step 3: Cross multiply
    5,097.04x = 7,643.19 × 2,989.30
  4. Step 4: Simplify right side
    5,097.04x = 22,847,787.87
  5. Step 5: Solve for x
    x = 22,847,787.87/5,097.04
  6. Step 6: Final answer
    x = 4,482.56

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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.