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Finding the Fourth Proportional to 4,061.85, 6,091.10 and 1,428.74

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Solution

The fourth proportional to 4,061.85, 6,091.10 and 1,428.74 is: 2,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.85 : 6,091.10 = 1,428.74 : x
  2. Step 2: Convert to fraction form
    4,061.85/6,091.10 = 1,428.74/x
  3. Step 3: Cross multiply
    4,061.85x = 6,091.10 × 1,428.74
  4. Step 4: Simplify right side
    4,061.85x = 8,702,588.81
  5. Step 5: Solve for x
    x = 8,702,588.81/4,061.85
  6. Step 6: Final answer
    x = 2,142.52

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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.