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Finding the Fourth Proportional to 5,871.75, 8,102.95 and 3,219.10

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Solution

The fourth proportional to 5,871.75, 8,102.95 and 3,219.10 is: 4,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.75 : 8,102.95 = 3,219.10 : x
  2. Step 2: Convert to fraction form
    5,871.75/8,102.95 = 3,219.10/x
  3. Step 3: Cross multiply
    5,871.75x = 8,102.95 × 3,219.10
  4. Step 4: Simplify right side
    5,871.75x = 26,084,206.35
  5. Step 5: Solve for x
    x = 26,084,206.35/5,871.75
  6. Step 6: Final answer
    x = 4,442.32

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1.5x scale

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.