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Finding the Fourth Proportional to 5,909.36, 8,863.63 and 1,526.65

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Solution

The fourth proportional to 5,909.36, 8,863.63 and 1,526.65 is: 2,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.36 : 8,863.63 = 1,526.65 : x
  2. Step 2: Convert to fraction form
    5,909.36/8,863.63 = 1,526.65/x
  3. Step 3: Cross multiply
    5,909.36x = 8,863.63 × 1,526.65
  4. Step 4: Simplify right side
    5,909.36x = 13,531,634.76
  5. Step 5: Solve for x
    x = 13,531,634.76/5,909.36
  6. Step 6: Final answer
    x = 2,289.87

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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.