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Finding the Fourth Proportional to 5,242.80, 7,864.20 and 1,347.18

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Solution

The fourth proportional to 5,242.80, 7,864.20 and 1,347.18 is: 2,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.80 : 7,864.20 = 1,347.18 : x
  2. Step 2: Convert to fraction form
    5,242.80/7,864.20 = 1,347.18/x
  3. Step 3: Cross multiply
    5,242.80x = 7,864.20 × 1,347.18
  4. Step 4: Simplify right side
    5,242.80x = 10,594,492.96
  5. Step 5: Solve for x
    x = 10,594,492.96/5,242.80
  6. Step 6: Final answer
    x = 2,020.77

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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.