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Finding the Fourth Proportional to 5,301.11, 7,315 and 3,063.71

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Solution

The fourth proportional to 5,301.11, 7,315 and 3,063.71 is: 4,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.11 : 7,315 = 3,063.71 : x
  2. Step 2: Convert to fraction form
    5,301.11/7,315 = 3,063.71/x
  3. Step 3: Cross multiply
    5,301.11x = 7,315 × 3,063.71
  4. Step 4: Simplify right side
    5,301.11x = 22,411,038.65
  5. Step 5: Solve for x
    x = 22,411,038.65/5,301.11
  6. Step 6: Final answer
    x = 4,227.61

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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.