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Finding the Fourth Proportional to 4,948.12, 7,421.92 and 1,661.28

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Solution

The fourth proportional to 4,948.12, 7,421.92 and 1,661.28 is: 2,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.12 : 7,421.92 = 1,661.28 : x
  2. Step 2: Convert to fraction form
    4,948.12/7,421.92 = 1,661.28/x
  3. Step 3: Cross multiply
    4,948.12x = 7,421.92 × 1,661.28
  4. Step 4: Simplify right side
    4,948.12x = 12,329,887.26
  5. Step 5: Solve for x
    x = 12,329,887.26/4,948.12
  6. Step 6: Final answer
    x = 2,491.83

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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.