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Finding the Fourth Proportional to 5,683.14, 7,844.22 and 3,445.11

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Solution

The fourth proportional to 5,683.14, 7,844.22 and 3,445.11 is: 4,755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.14 : 7,844.22 = 3,445.11 : x
  2. Step 2: Convert to fraction form
    5,683.14/7,844.22 = 3,445.11/x
  3. Step 3: Cross multiply
    5,683.14x = 7,844.22 × 3,445.11
  4. Step 4: Simplify right side
    5,683.14x = 27,024,200.76
  5. Step 5: Solve for x
    x = 27,024,200.76/5,683.14
  6. Step 6: Final answer
    x = 4,755.15

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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.