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Finding the Fourth Proportional to 3,507.17, 5,260.14 and 1,166.81

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Solution

The fourth proportional to 3,507.17, 5,260.14 and 1,166.81 is: 1,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.17 : 5,260.14 = 1,166.81 : x
  2. Step 2: Convert to fraction form
    3,507.17/5,260.14 = 1,166.81/x
  3. Step 3: Cross multiply
    3,507.17x = 5,260.14 × 1,166.81
  4. Step 4: Simplify right side
    3,507.17x = 6,137,557.65
  5. Step 5: Solve for x
    x = 6,137,557.65/3,507.17
  6. Step 6: Final answer
    x = 1,750.01

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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.