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Finding the Fourth Proportional to 4,887.68, 6,746.88 and 3,316.48

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Solution

The fourth proportional to 4,887.68, 6,746.88 and 3,316.48 is: 4,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.68 : 6,746.88 = 3,316.48 : x
  2. Step 2: Convert to fraction form
    4,887.68/6,746.88 = 3,316.48/x
  3. Step 3: Cross multiply
    4,887.68x = 6,746.88 × 3,316.48
  4. Step 4: Simplify right side
    4,887.68x = 22,375,892.58
  5. Step 5: Solve for x
    x = 22,375,892.58/4,887.68
  6. Step 6: Final answer
    x = 4,578.02

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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.