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Finding the Fourth Proportional to 5,718.08, 8,578.40 and 1,614.08

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Solution

The fourth proportional to 5,718.08, 8,578.40 and 1,614.08 is: 2,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.08 : 8,578.40 = 1,614.08 : x
  2. Step 2: Convert to fraction form
    5,718.08/8,578.40 = 1,614.08/x
  3. Step 3: Cross multiply
    5,718.08x = 8,578.40 × 1,614.08
  4. Step 4: Simplify right side
    5,718.08x = 13,846,223.87
  5. Step 5: Solve for x
    x = 13,846,223.87/5,718.08
  6. Step 6: Final answer
    x = 2,421.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.