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Finding the Fourth Proportional to 5,267.72, 7,903.02 and 1,569.92

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Solution

The fourth proportional to 5,267.72, 7,903.02 and 1,569.92 is: 2,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.72 : 7,903.02 = 1,569.92 : x
  2. Step 2: Convert to fraction form
    5,267.72/7,903.02 = 1,569.92/x
  3. Step 3: Cross multiply
    5,267.72x = 7,903.02 × 1,569.92
  4. Step 4: Simplify right side
    5,267.72x = 12,407,109.16
  5. Step 5: Solve for x
    x = 12,407,109.16/5,267.72
  6. Step 6: Final answer
    x = 2,355.31

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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.