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Finding the Fourth Proportional to 5,296.15, 7,943.61 and 1,400.86

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Solution

The fourth proportional to 5,296.15, 7,943.61 and 1,400.86 is: 2,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.15 : 7,943.61 = 1,400.86 : x
  2. Step 2: Convert to fraction form
    5,296.15/7,943.61 = 1,400.86/x
  3. Step 3: Cross multiply
    5,296.15x = 7,943.61 × 1,400.86
  4. Step 4: Simplify right side
    5,296.15x = 11,127,885.50
  5. Step 5: Solve for x
    x = 11,127,885.50/5,296.15
  6. Step 6: Final answer
    x = 2,101.13

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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.