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Finding the Fourth Proportional to 4,432.86, 6,646.59 and 2,091.42

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Solution

The fourth proportional to 4,432.86, 6,646.59 and 2,091.42 is: 3,135.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.86 : 6,646.59 = 2,091.42 : x
  2. Step 2: Convert to fraction form
    4,432.86/6,646.59 = 2,091.42/x
  3. Step 3: Cross multiply
    4,432.86x = 6,646.59 × 2,091.42
  4. Step 4: Simplify right side
    4,432.86x = 13,900,811.26
  5. Step 5: Solve for x
    x = 13,900,811.26/4,432.86
  6. Step 6: Final answer
    x = 3,135.86

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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.