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Finding the Fourth Proportional to 5,953.65, 8,924.40 and 3,487.20

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Solution

The fourth proportional to 5,953.65, 8,924.40 and 3,487.20 is: 5,227.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.65 : 8,924.40 = 3,487.20 : x
  2. Step 2: Convert to fraction form
    5,953.65/8,924.40 = 3,487.20/x
  3. Step 3: Cross multiply
    5,953.65x = 8,924.40 × 3,487.20
  4. Step 4: Simplify right side
    5,953.65x = 31,121,167.68
  5. Step 5: Solve for x
    x = 31,121,167.68/5,953.65
  6. Step 6: Final answer
    x = 5,227.24

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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.