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Finding the Fourth Proportional to 4,381.96, 6,575.10 and 3,091.72

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Solution

The fourth proportional to 4,381.96, 6,575.10 and 3,091.72 is: 4,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.96 : 6,575.10 = 3,091.72 : x
  2. Step 2: Convert to fraction form
    4,381.96/6,575.10 = 3,091.72/x
  3. Step 3: Cross multiply
    4,381.96x = 6,575.10 × 3,091.72
  4. Step 4: Simplify right side
    4,381.96x = 20,328,368.17
  5. Step 5: Solve for x
    x = 20,328,368.17/4,381.96
  6. Step 6: Final answer
    x = 4,639.10

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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.