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Finding the Fourth Proportional to 4,534.23, 6,803.24 and 1,902.23

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Solution

The fourth proportional to 4,534.23, 6,803.24 and 1,902.23 is: 2,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.23 : 6,803.24 = 1,902.23 : x
  2. Step 2: Convert to fraction form
    4,534.23/6,803.24 = 1,902.23/x
  3. Step 3: Cross multiply
    4,534.23x = 6,803.24 × 1,902.23
  4. Step 4: Simplify right side
    4,534.23x = 12,941,327.23
  5. Step 5: Solve for x
    x = 12,941,327.23/4,534.23
  6. Step 6: Final answer
    x = 2,854.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.