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Finding the Fourth Proportional to 5,246.96, 7,871.16 and 1,549.46

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Solution

The fourth proportional to 5,246.96, 7,871.16 and 1,549.46 is: 2,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.96 : 7,871.16 = 1,549.46 : x
  2. Step 2: Convert to fraction form
    5,246.96/7,871.16 = 1,549.46/x
  3. Step 3: Cross multiply
    5,246.96x = 7,871.16 × 1,549.46
  4. Step 4: Simplify right side
    5,246.96x = 12,196,047.57
  5. Step 5: Solve for x
    x = 12,196,047.57/5,246.96
  6. Step 6: Final answer
    x = 2,324.40

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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.