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Finding the Fourth Proportional to 5,174.32, 7,742.88 and 4,483.36

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Solution

The fourth proportional to 5,174.32, 7,742.88 and 4,483.36 is: 6,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.32 : 7,742.88 = 4,483.36 : x
  2. Step 2: Convert to fraction form
    5,174.32/7,742.88 = 4,483.36/x
  3. Step 3: Cross multiply
    5,174.32x = 7,742.88 × 4,483.36
  4. Step 4: Simplify right side
    5,174.32x = 34,714,118.48
  5. Step 5: Solve for x
    x = 34,714,118.48/5,174.32
  6. Step 6: Final answer
    x = 6,708.92

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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.