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Finding the Fourth Proportional to 3,494.19, 5,242.07 and 1,154.93

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Solution

The fourth proportional to 3,494.19, 5,242.07 and 1,154.93 is: 1,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.19 : 5,242.07 = 1,154.93 : x
  2. Step 2: Convert to fraction form
    3,494.19/5,242.07 = 1,154.93/x
  3. Step 3: Cross multiply
    3,494.19x = 5,242.07 × 1,154.93
  4. Step 4: Simplify right side
    3,494.19x = 6,054,191.92
  5. Step 5: Solve for x
    x = 6,054,191.92/3,494.19
  6. Step 6: Final answer
    x = 1,732.65

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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.