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Finding the Fourth Proportional to 4,862.76, 7,293.86 and 2,913.64

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Solution

The fourth proportional to 4,862.76, 7,293.86 and 2,913.64 is: 4,370.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.76 : 7,293.86 = 2,913.64 : x
  2. Step 2: Convert to fraction form
    4,862.76/7,293.86 = 2,913.64/x
  3. Step 3: Cross multiply
    4,862.76x = 7,293.86 × 2,913.64
  4. Step 4: Simplify right side
    4,862.76x = 21,251,682.25
  5. Step 5: Solve for x
    x = 21,251,682.25/4,862.76
  6. Step 6: Final answer
    x = 4,370.29

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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.