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Finding the Fourth Proportional to 5,431.88, 7,496.00 and 2,947.88

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Solution

The fourth proportional to 5,431.88, 7,496.00 and 2,947.88 is: 4,068.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431.88 : 7,496.00 = 2,947.88 : x
  2. Step 2: Convert to fraction form
    5,431.88/7,496.00 = 2,947.88/x
  3. Step 3: Cross multiply
    5,431.88x = 7,496.00 × 2,947.88
  4. Step 4: Simplify right side
    5,431.88x = 22,097,256.26
  5. Step 5: Solve for x
    x = 22,097,256.26/5,431.88
  6. Step 6: Final answer
    x = 4,068.07

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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.