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Finding the Fourth Proportional to 5,607.65, 8,412.39 and 1,909.51

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Solution

The fourth proportional to 5,607.65, 8,412.39 and 1,909.51 is: 2,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.65 : 8,412.39 = 1,909.51 : x
  2. Step 2: Convert to fraction form
    5,607.65/8,412.39 = 1,909.51/x
  3. Step 3: Cross multiply
    5,607.65x = 8,412.39 × 1,909.51
  4. Step 4: Simplify right side
    5,607.65x = 16,063,521.80
  5. Step 5: Solve for x
    x = 16,063,521.80/5,607.65
  6. Step 6: Final answer
    x = 2,864.57

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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.