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Finding the Fourth Proportional to 5,246.48, 7,869.03 and 1,549.10

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Solution

The fourth proportional to 5,246.48, 7,869.03 and 1,549.10 is: 2,323.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.48 : 7,869.03 = 1,549.10 : x
  2. Step 2: Convert to fraction form
    5,246.48/7,869.03 = 1,549.10/x
  3. Step 3: Cross multiply
    5,246.48x = 7,869.03 × 1,549.10
  4. Step 4: Simplify right side
    5,246.48x = 12,189,875.03
  5. Step 5: Solve for x
    x = 12,189,875.03/5,246.48
  6. Step 6: Final answer
    x = 2,323.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.