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Finding the Fourth Proportional to 4,568.42, 6,854.16 and 1,448.94

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Solution

The fourth proportional to 4,568.42, 6,854.16 and 1,448.94 is: 2,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.42 : 6,854.16 = 1,448.94 : x
  2. Step 2: Convert to fraction form
    4,568.42/6,854.16 = 1,448.94/x
  3. Step 3: Cross multiply
    4,568.42x = 6,854.16 × 1,448.94
  4. Step 4: Simplify right side
    4,568.42x = 9,931,266.59
  5. Step 5: Solve for x
    x = 9,931,266.59/4,568.42
  6. Step 6: Final answer
    x = 2,173.90

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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.