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Finding the Fourth Proportional to 4,648.88, 6,971.12 and 2,701.68

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Solution

The fourth proportional to 4,648.88, 6,971.12 and 2,701.68 is: 4,051.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.88 : 6,971.12 = 2,701.68 : x
  2. Step 2: Convert to fraction form
    4,648.88/6,971.12 = 2,701.68/x
  3. Step 3: Cross multiply
    4,648.88x = 6,971.12 × 2,701.68
  4. Step 4: Simplify right side
    4,648.88x = 18,833,735.48
  5. Step 5: Solve for x
    x = 18,833,735.48/4,648.88
  6. Step 6: Final answer
    x = 4,051.24

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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.