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Finding the Fourth Proportional to 4,752.42, 7,128.54 and 1,289.70

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Solution

The fourth proportional to 4,752.42, 7,128.54 and 1,289.70 is: 1,934.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.42 : 7,128.54 = 1,289.70 : x
  2. Step 2: Convert to fraction form
    4,752.42/7,128.54 = 1,289.70/x
  3. Step 3: Cross multiply
    4,752.42x = 7,128.54 × 1,289.70
  4. Step 4: Simplify right side
    4,752.42x = 9,193,678.04
  5. Step 5: Solve for x
    x = 9,193,678.04/4,752.42
  6. Step 6: Final answer
    x = 1,934.53

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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.