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Finding the Fourth Proportional to 5,306.67, 7,960.16 and 1,411.08

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Solution

The fourth proportional to 5,306.67, 7,960.16 and 1,411.08 is: 2,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.67 : 7,960.16 = 1,411.08 : x
  2. Step 2: Convert to fraction form
    5,306.67/7,960.16 = 1,411.08/x
  3. Step 3: Cross multiply
    5,306.67x = 7,960.16 × 1,411.08
  4. Step 4: Simplify right side
    5,306.67x = 11,232,415.52
  5. Step 5: Solve for x
    x = 11,232,415.52/5,306.67
  6. Step 6: Final answer
    x = 2,116.66

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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.