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Finding the Fourth Proportional to 4,867.88, 6,715.38 and 3,541

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Solution

The fourth proportional to 4,867.88, 6,715.38 and 3,541 is: 4,884.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.88 : 6,715.38 = 3,541 : x
  2. Step 2: Convert to fraction form
    4,867.88/6,715.38 = 3,541/x
  3. Step 3: Cross multiply
    4,867.88x = 6,715.38 × 3,541
  4. Step 4: Simplify right side
    4,867.88x = 23,779,160.58
  5. Step 5: Solve for x
    x = 23,779,160.58/4,867.88
  6. Step 6: Final answer
    x = 4,884.91

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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.