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Finding the Fourth Proportional to 5,368.52, 8,051.92 and 1,472.02

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Solution

The fourth proportional to 5,368.52, 8,051.92 and 1,472.02 is: 2,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.52 : 8,051.92 = 1,472.02 : x
  2. Step 2: Convert to fraction form
    5,368.52/8,051.92 = 1,472.02/x
  3. Step 3: Cross multiply
    5,368.52x = 8,051.92 × 1,472.02
  4. Step 4: Simplify right side
    5,368.52x = 11,852,563.47
  5. Step 5: Solve for x
    x = 11,852,563.47/5,368.52
  6. Step 6: Final answer
    x = 2,207.79

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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.