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Finding the Fourth Proportional to 3,521.52, 4,854.96 and 3,022

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Solution

The fourth proportional to 3,521.52, 4,854.96 and 3,022 is: 4,166.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,521.52 : 4,854.96 = 3,022 : x
  2. Step 2: Convert to fraction form
    3,521.52/4,854.96 = 3,022/x
  3. Step 3: Cross multiply
    3,521.52x = 4,854.96 × 3,022
  4. Step 4: Simplify right side
    3,521.52x = 14,671,689.12
  5. Step 5: Solve for x
    x = 14,671,689.12/3,521.52
  6. Step 6: Final answer
    x = 4,166.29

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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.