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Finding the Fourth Proportional to 3,718.57, 5,578.53 and 3,031.26

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Solution

The fourth proportional to 3,718.57, 5,578.53 and 3,031.26 is: 4,547.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.57 : 5,578.53 = 3,031.26 : x
  2. Step 2: Convert to fraction form
    3,718.57/5,578.53 = 3,031.26/x
  3. Step 3: Cross multiply
    3,718.57x = 5,578.53 × 3,031.26
  4. Step 4: Simplify right side
    3,718.57x = 16,909,946.96
  5. Step 5: Solve for x
    x = 16,909,946.96/3,718.57
  6. Step 6: Final answer
    x = 4,547.44

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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.