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Finding the Fourth Proportional to 4,568.74, 6,854.19 and 1,448.89

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Solution

The fourth proportional to 4,568.74, 6,854.19 and 1,448.89 is: 2,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.74 : 6,854.19 = 1,448.89 : x
  2. Step 2: Convert to fraction form
    4,568.74/6,854.19 = 1,448.89/x
  3. Step 3: Cross multiply
    4,568.74x = 6,854.19 × 1,448.89
  4. Step 4: Simplify right side
    4,568.74x = 9,930,967.35
  5. Step 5: Solve for x
    x = 9,930,967.35/4,568.74
  6. Step 6: Final answer
    x = 2,173.68

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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.