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Finding the Fourth Proportional to 3,953.32, 5,929.99 and 1,031.62

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Solution

The fourth proportional to 3,953.32, 5,929.99 and 1,031.62 is: 1,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.32 : 5,929.99 = 1,031.62 : x
  2. Step 2: Convert to fraction form
    3,953.32/5,929.99 = 1,031.62/x
  3. Step 3: Cross multiply
    3,953.32x = 5,929.99 × 1,031.62
  4. Step 4: Simplify right side
    3,953.32x = 6,117,496.28
  5. Step 5: Solve for x
    x = 6,117,496.28/3,953.32
  6. Step 6: Final answer
    x = 1,547.43

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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.