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Finding the Fourth Proportional to 4,589.55, 6,909.30 and 4,181.31

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Solution

The fourth proportional to 4,589.55, 6,909.30 and 4,181.31 is: 6,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.55 : 6,909.30 = 4,181.31 : x
  2. Step 2: Convert to fraction form
    4,589.55/6,909.30 = 4,181.31/x
  3. Step 3: Cross multiply
    4,589.55x = 6,909.30 × 4,181.31
  4. Step 4: Simplify right side
    4,589.55x = 28,889,925.18
  5. Step 5: Solve for x
    x = 28,889,925.18/4,589.55
  6. Step 6: Final answer
    x = 6,294.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.