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Finding the Fourth Proportional to 4,290.48, 6,444.36 and 4,169.52

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Solution

The fourth proportional to 4,290.48, 6,444.36 and 4,169.52 is: 6,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,290.48 : 6,444.36 = 4,169.52 : x
  2. Step 2: Convert to fraction form
    4,290.48/6,444.36 = 4,169.52/x
  3. Step 3: Cross multiply
    4,290.48x = 6,444.36 × 4,169.52
  4. Step 4: Simplify right side
    4,290.48x = 26,869,887.91
  5. Step 5: Solve for x
    x = 26,869,887.91/4,290.48
  6. Step 6: Final answer
    x = 6,262.68

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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.