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Finding the Fourth Proportional to 3,872.32, 5,806.40 and 1,530.48

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Solution

The fourth proportional to 3,872.32, 5,806.40 and 1,530.48 is: 2,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.32 : 5,806.40 = 1,530.48 : x
  2. Step 2: Convert to fraction form
    3,872.32/5,806.40 = 1,530.48/x
  3. Step 3: Cross multiply
    3,872.32x = 5,806.40 × 1,530.48
  4. Step 4: Simplify right side
    3,872.32x = 8,886,579.07
  5. Step 5: Solve for x
    x = 8,886,579.07/3,872.32
  6. Step 6: Final answer
    x = 2,294.90

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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.