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Finding the Fourth Proportional to 5,243.08, 7,864.68 and 1,347.40

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Solution

The fourth proportional to 5,243.08, 7,864.68 and 1,347.40 is: 2,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.08 : 7,864.68 = 1,347.40 : x
  2. Step 2: Convert to fraction form
    5,243.08/7,864.68 = 1,347.40/x
  3. Step 3: Cross multiply
    5,243.08x = 7,864.68 × 1,347.40
  4. Step 4: Simplify right side
    5,243.08x = 10,596,869.83
  5. Step 5: Solve for x
    x = 10,596,869.83/5,243.08
  6. Step 6: Final answer
    x = 2,021.12

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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.