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Finding the Fourth Proportional to 5,295.64, 7,943.84 and 1,400

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Solution

The fourth proportional to 5,295.64, 7,943.84 and 1,400 is: 2,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.64 : 7,943.84 = 1,400 : x
  2. Step 2: Convert to fraction form
    5,295.64/7,943.84 = 1,400/x
  3. Step 3: Cross multiply
    5,295.64x = 7,943.84 × 1,400
  4. Step 4: Simplify right side
    5,295.64x = 11,121,376
  5. Step 5: Solve for x
    x = 11,121,376/5,295.64
  6. Step 6: Final answer
    x = 2,100.10

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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.