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Finding the Fourth Proportional to 4,953.52, 7,430.38 and 1,443.78

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Solution

The fourth proportional to 4,953.52, 7,430.38 and 1,443.78 is: 2,165.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.52 : 7,430.38 = 1,443.78 : x
  2. Step 2: Convert to fraction form
    4,953.52/7,430.38 = 1,443.78/x
  3. Step 3: Cross multiply
    4,953.52x = 7,430.38 × 1,443.78
  4. Step 4: Simplify right side
    4,953.52x = 10,727,834.04
  5. Step 5: Solve for x
    x = 10,727,834.04/4,953.52
  6. Step 6: Final answer
    x = 2,165.70

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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.