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Finding the Fourth Proportional to 5,356.77, 8,035.68 and 1,461.17

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Solution

The fourth proportional to 5,356.77, 8,035.68 and 1,461.17 is: 2,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.77 : 8,035.68 = 1,461.17 : x
  2. Step 2: Convert to fraction form
    5,356.77/8,035.68 = 1,461.17/x
  3. Step 3: Cross multiply
    5,356.77x = 8,035.68 × 1,461.17
  4. Step 4: Simplify right side
    5,356.77x = 11,741,454.37
  5. Step 5: Solve for x
    x = 11,741,454.37/5,356.77
  6. Step 6: Final answer
    x = 2,191.89

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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.