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Finding the Fourth Proportional to 4,409.52, 6,609.68 and 1,486.82

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Solution

The fourth proportional to 4,409.52, 6,609.68 and 1,486.82 is: 2,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.52 : 6,609.68 = 1,486.82 : x
  2. Step 2: Convert to fraction form
    4,409.52/6,609.68 = 1,486.82/x
  3. Step 3: Cross multiply
    4,409.52x = 6,609.68 × 1,486.82
  4. Step 4: Simplify right side
    4,409.52x = 9,827,404.42
  5. Step 5: Solve for x
    x = 9,827,404.42/4,409.52
  6. Step 6: Final answer
    x = 2,228.68

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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.