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Finding the Fourth Proportional to 3,909.19, 5,864.44 and 1,275.95

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Solution

The fourth proportional to 3,909.19, 5,864.44 and 1,275.95 is: 1,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.19 : 5,864.44 = 1,275.95 : x
  2. Step 2: Convert to fraction form
    3,909.19/5,864.44 = 1,275.95/x
  3. Step 3: Cross multiply
    3,909.19x = 5,864.44 × 1,275.95
  4. Step 4: Simplify right side
    3,909.19x = 7,482,732.22
  5. Step 5: Solve for x
    x = 7,482,732.22/3,909.19
  6. Step 6: Final answer
    x = 1,914.14

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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.