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Finding the Fourth Proportional to 4,654.86, 6,423.75 and 2,559

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Solution

The fourth proportional to 4,654.86, 6,423.75 and 2,559 is: 3,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.86 : 6,423.75 = 2,559 : x
  2. Step 2: Convert to fraction form
    4,654.86/6,423.75 = 2,559/x
  3. Step 3: Cross multiply
    4,654.86x = 6,423.75 × 2,559
  4. Step 4: Simplify right side
    4,654.86x = 16,438,376.25
  5. Step 5: Solve for x
    x = 16,438,376.25/4,654.86
  6. Step 6: Final answer
    x = 3,531.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.