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Finding the Fourth Proportional to 3,032.62, 4,549.58 and 952.48

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Solution

The fourth proportional to 3,032.62, 4,549.58 and 952.48 is: 1,428.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.62 : 4,549.58 = 952.48 : x
  2. Step 2: Convert to fraction form
    3,032.62/4,549.58 = 952.48/x
  3. Step 3: Cross multiply
    3,032.62x = 4,549.58 × 952.48
  4. Step 4: Simplify right side
    3,032.62x = 4,333,383.96
  5. Step 5: Solve for x
    x = 4,333,383.96/3,032.62
  6. Step 6: Final answer
    x = 1,428.92

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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.