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Finding the Fourth Proportional to 4,590, 6,882.12 and 3,341.04

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Solution

The fourth proportional to 4,590, 6,882.12 and 3,341.04 is: 5,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590 : 6,882.12 = 3,341.04 : x
  2. Step 2: Convert to fraction form
    4,590/6,882.12 = 3,341.04/x
  3. Step 3: Cross multiply
    4,590x = 6,882.12 × 3,341.04
  4. Step 4: Simplify right side
    4,590x = 22,993,438.20
  5. Step 5: Solve for x
    x = 22,993,438.20/4,590
  6. Step 6: Final answer
    x = 5,009.46

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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.