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Finding the Fourth Proportional to 5,158.06, 7,730.10 and 2,343.40

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Solution

The fourth proportional to 5,158.06, 7,730.10 and 2,343.40 is: 3,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.06 : 7,730.10 = 2,343.40 : x
  2. Step 2: Convert to fraction form
    5,158.06/7,730.10 = 2,343.40/x
  3. Step 3: Cross multiply
    5,158.06x = 7,730.10 × 2,343.40
  4. Step 4: Simplify right side
    5,158.06x = 18,114,697.01
  5. Step 5: Solve for x
    x = 18,114,697.01/5,158.06
  6. Step 6: Final answer
    x = 3,511.92

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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.