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Finding the Fourth Proportional to 5,410.16, 8,117.40 and 2,812.40

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Solution

The fourth proportional to 5,410.16, 8,117.40 and 2,812.40 is: 4,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.16 : 8,117.40 = 2,812.40 : x
  2. Step 2: Convert to fraction form
    5,410.16/8,117.40 = 2,812.40/x
  3. Step 3: Cross multiply
    5,410.16x = 8,117.40 × 2,812.40
  4. Step 4: Simplify right side
    5,410.16x = 22,829,375.76
  5. Step 5: Solve for x
    x = 22,829,375.76/5,410.16
  6. Step 6: Final answer
    x = 4,219.72

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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.