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Finding the Fourth Proportional to 5,368.96, 8,047.76 and 2,248.16

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Solution

The fourth proportional to 5,368.96, 8,047.76 and 2,248.16 is: 3,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.96 : 8,047.76 = 2,248.16 : x
  2. Step 2: Convert to fraction form
    5,368.96/8,047.76 = 2,248.16/x
  3. Step 3: Cross multiply
    5,368.96x = 8,047.76 × 2,248.16
  4. Step 4: Simplify right side
    5,368.96x = 18,092,652.12
  5. Step 5: Solve for x
    x = 18,092,652.12/5,368.96
  6. Step 6: Final answer
    x = 3,369.86

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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.