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Finding the Fourth Proportional to 3,875.90, 5,350.78 and 3,111.36

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Solution

The fourth proportional to 3,875.90, 5,350.78 and 3,111.36 is: 4,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.90 : 5,350.78 = 3,111.36 : x
  2. Step 2: Convert to fraction form
    3,875.90/5,350.78 = 3,111.36/x
  3. Step 3: Cross multiply
    3,875.90x = 5,350.78 × 3,111.36
  4. Step 4: Simplify right side
    3,875.90x = 16,648,225.53
  5. Step 5: Solve for x
    x = 16,648,225.53/3,875.90
  6. Step 6: Final answer
    x = 4,295.32

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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.