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Finding the Fourth Proportional to 4,585.41, 6,878.13 and 1,122.66

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Solution

The fourth proportional to 4,585.41, 6,878.13 and 1,122.66 is: 1,683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.41 : 6,878.13 = 1,122.66 : x
  2. Step 2: Convert to fraction form
    4,585.41/6,878.13 = 1,122.66/x
  3. Step 3: Cross multiply
    4,585.41x = 6,878.13 × 1,122.66
  4. Step 4: Simplify right side
    4,585.41x = 7,721,801.43
  5. Step 5: Solve for x
    x = 7,721,801.43/4,585.41
  6. Step 6: Final answer
    x = 1,683.99

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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.