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Finding the Fourth Proportional to 3,527, 5,253.24 and 3,341.96

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Solution

The fourth proportional to 3,527, 5,253.24 and 3,341.96 is: 4,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527 : 5,253.24 = 3,341.96 : x
  2. Step 2: Convert to fraction form
    3,527/5,253.24 = 3,341.96/x
  3. Step 3: Cross multiply
    3,527x = 5,253.24 × 3,341.96
  4. Step 4: Simplify right side
    3,527x = 17,556,117.95
  5. Step 5: Solve for x
    x = 17,556,117.95/3,527
  6. Step 6: Final answer
    x = 4,977.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.