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Finding the Fourth Proportional to 4,752.16, 7,128.24 and 1,289.92

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Solution

The fourth proportional to 4,752.16, 7,128.24 and 1,289.92 is: 1,934.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.16 : 7,128.24 = 1,289.92 : x
  2. Step 2: Convert to fraction form
    4,752.16/7,128.24 = 1,289.92/x
  3. Step 3: Cross multiply
    4,752.16x = 7,128.24 × 1,289.92
  4. Step 4: Simplify right side
    4,752.16x = 9,194,859.34
  5. Step 5: Solve for x
    x = 9,194,859.34/4,752.16
  6. Step 6: Final answer
    x = 1,934.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.