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Finding the Fourth Proportional to 3,552.96, 5,329.74 and 956.04

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Solution

The fourth proportional to 3,552.96, 5,329.74 and 956.04 is: 1,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.96 : 5,329.74 = 956.04 : x
  2. Step 2: Convert to fraction form
    3,552.96/5,329.74 = 956.04/x
  3. Step 3: Cross multiply
    3,552.96x = 5,329.74 × 956.04
  4. Step 4: Simplify right side
    3,552.96x = 5,095,444.63
  5. Step 5: Solve for x
    x = 5,095,444.63/3,552.96
  6. Step 6: Final answer
    x = 1,434.14

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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.