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Finding the Fourth Proportional to 5,256.71, 7,883.14 and 1,746.08

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Solution

The fourth proportional to 5,256.71, 7,883.14 and 1,746.08 is: 2,618.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.71 : 7,883.14 = 1,746.08 : x
  2. Step 2: Convert to fraction form
    5,256.71/7,883.14 = 1,746.08/x
  3. Step 3: Cross multiply
    5,256.71x = 7,883.14 × 1,746.08
  4. Step 4: Simplify right side
    5,256.71x = 13,764,593.09
  5. Step 5: Solve for x
    x = 13,764,593.09/5,256.71
  6. Step 6: Final answer
    x = 2,618.48

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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.