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Finding the Fourth Proportional to 4,585.41, 6,878.12 and 1,663.03

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Solution

The fourth proportional to 4,585.41, 6,878.12 and 1,663.03 is: 2,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,585.41 : 6,878.12 = 1,663.03 : x
  2. Step 2: Convert to fraction form
    4,585.41/6,878.12 = 1,663.03/x
  3. Step 3: Cross multiply
    4,585.41x = 6,878.12 × 1,663.03
  4. Step 4: Simplify right side
    4,585.41x = 11,438,520.19
  5. Step 5: Solve for x
    x = 11,438,520.19/4,585.41
  6. Step 6: Final answer
    x = 2,494.55

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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.