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Finding the Fourth Proportional to 3,764.32, 5,643.12 and 1,914.40

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Solution

The fourth proportional to 3,764.32, 5,643.12 and 1,914.40 is: 2,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.32 : 5,643.12 = 1,914.40 : x
  2. Step 2: Convert to fraction form
    3,764.32/5,643.12 = 1,914.40/x
  3. Step 3: Cross multiply
    3,764.32x = 5,643.12 × 1,914.40
  4. Step 4: Simplify right side
    3,764.32x = 10,803,188.93
  5. Step 5: Solve for x
    x = 10,803,188.93/3,764.32
  6. Step 6: Final answer
    x = 2,869.89

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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.