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Finding the Fourth Proportional to 5,720.77, 7,894.01 and 3,202.53

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Solution

The fourth proportional to 5,720.77, 7,894.01 and 3,202.53 is: 4,419.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.77 : 7,894.01 = 3,202.53 : x
  2. Step 2: Convert to fraction form
    5,720.77/7,894.01 = 3,202.53/x
  3. Step 3: Cross multiply
    5,720.77x = 7,894.01 × 3,202.53
  4. Step 4: Simplify right side
    5,720.77x = 25,280,803.85
  5. Step 5: Solve for x
    x = 25,280,803.85/5,720.77
  6. Step 6: Final answer
    x = 4,419.13

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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.