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Finding the Fourth Proportional to 5,689.82, 7,851.99 and 3,332

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Solution

The fourth proportional to 5,689.82, 7,851.99 and 3,332 is: 4,598.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.82 : 7,851.99 = 3,332 : x
  2. Step 2: Convert to fraction form
    5,689.82/7,851.99 = 3,332/x
  3. Step 3: Cross multiply
    5,689.82x = 7,851.99 × 3,332
  4. Step 4: Simplify right side
    5,689.82x = 26,162,830.68
  5. Step 5: Solve for x
    x = 26,162,830.68/5,689.82
  6. Step 6: Final answer
    x = 4,598.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.