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Finding the Fourth Proportional to 5,143.06, 7,715.72 and 1,585.20

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Solution

The fourth proportional to 5,143.06, 7,715.72 and 1,585.20 is: 2,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.06 : 7,715.72 = 1,585.20 : x
  2. Step 2: Convert to fraction form
    5,143.06/7,715.72 = 1,585.20/x
  3. Step 3: Cross multiply
    5,143.06x = 7,715.72 × 1,585.20
  4. Step 4: Simplify right side
    5,143.06x = 12,230,992.24
  5. Step 5: Solve for x
    x = 12,230,992.24/5,143.06
  6. Step 6: Final answer
    x = 2,378.15

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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.