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Finding the Fourth Proportional to 3,444.98, 5,166.48 and 1,364.18

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Solution

The fourth proportional to 3,444.98, 5,166.48 and 1,364.18 is: 2,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.98 : 5,166.48 = 1,364.18 : x
  2. Step 2: Convert to fraction form
    3,444.98/5,166.48 = 1,364.18/x
  3. Step 3: Cross multiply
    3,444.98x = 5,166.48 × 1,364.18
  4. Step 4: Simplify right side
    3,444.98x = 7,048,008.69
  5. Step 5: Solve for x
    x = 7,048,008.69/3,444.98
  6. Step 6: Final answer
    x = 2,045.88

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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.