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Finding the Fourth Proportional to 5,684.01, 7,843.14 and 3,445.53

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Solution

The fourth proportional to 5,684.01, 7,843.14 and 3,445.53 is: 4,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684.01 : 7,843.14 = 3,445.53 : x
  2. Step 2: Convert to fraction form
    5,684.01/7,843.14 = 3,445.53/x
  3. Step 3: Cross multiply
    5,684.01x = 7,843.14 × 3,445.53
  4. Step 4: Simplify right side
    5,684.01x = 27,023,774.16
  5. Step 5: Solve for x
    x = 27,023,774.16/5,684.01
  6. Step 6: Final answer
    x = 4,754.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.