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Finding the Fourth Proportional to 4,872.32, 7,306.46 and 1,869.90

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Solution

The fourth proportional to 4,872.32, 7,306.46 and 1,869.90 is: 2,804.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.32 : 7,306.46 = 1,869.90 : x
  2. Step 2: Convert to fraction form
    4,872.32/7,306.46 = 1,869.90/x
  3. Step 3: Cross multiply
    4,872.32x = 7,306.46 × 1,869.90
  4. Step 4: Simplify right side
    4,872.32x = 13,662,349.55
  5. Step 5: Solve for x
    x = 13,662,349.55/4,872.32
  6. Step 6: Final answer
    x = 2,804.07

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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.