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Finding the Fourth Proportional to 4,574.91, 6,862.64 and 1,455.17

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Solution

The fourth proportional to 4,574.91, 6,862.64 and 1,455.17 is: 2,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.91 : 6,862.64 = 1,455.17 : x
  2. Step 2: Convert to fraction form
    4,574.91/6,862.64 = 1,455.17/x
  3. Step 3: Cross multiply
    4,574.91x = 6,862.64 × 1,455.17
  4. Step 4: Simplify right side
    4,574.91x = 9,986,304.86
  5. Step 5: Solve for x
    x = 9,986,304.86/4,574.91
  6. Step 6: Final answer
    x = 2,182.84

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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.