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Finding the Fourth Proportional to 3,101.48, 4,647.35 and 2,637.35

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Solution

The fourth proportional to 3,101.48, 4,647.35 and 2,637.35 is: 3,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.48 : 4,647.35 = 2,637.35 : x
  2. Step 2: Convert to fraction form
    3,101.48/4,647.35 = 2,637.35/x
  3. Step 3: Cross multiply
    3,101.48x = 4,647.35 × 2,637.35
  4. Step 4: Simplify right side
    3,101.48x = 12,256,683.50
  5. Step 5: Solve for x
    x = 12,256,683.50/3,101.48
  6. Step 6: Final answer
    x = 3,951.89

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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.