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Finding the Fourth Proportional to 5,656.68, 7,806.51 and 4,257

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Solution

The fourth proportional to 5,656.68, 7,806.51 and 4,257 is: 5,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.68 : 7,806.51 = 4,257 : x
  2. Step 2: Convert to fraction form
    5,656.68/7,806.51 = 4,257/x
  3. Step 3: Cross multiply
    5,656.68x = 7,806.51 × 4,257
  4. Step 4: Simplify right side
    5,656.68x = 33,232,313.07
  5. Step 5: Solve for x
    x = 33,232,313.07/5,656.68
  6. Step 6: Final answer
    x = 5,874.88

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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.