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Finding the Fourth Proportional to 5,307.42, 7,961.28 and 1,411.83

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Solution

The fourth proportional to 5,307.42, 7,961.28 and 1,411.83 is: 2,117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.42 : 7,961.28 = 1,411.83 : x
  2. Step 2: Convert to fraction form
    5,307.42/7,961.28 = 1,411.83/x
  3. Step 3: Cross multiply
    5,307.42x = 7,961.28 × 1,411.83
  4. Step 4: Simplify right side
    5,307.42x = 11,239,973.94
  5. Step 5: Solve for x
    x = 11,239,973.94/5,307.42
  6. Step 6: Final answer
    x = 2,117.78

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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.