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Finding the Fourth Proportional to 3,534.86, 5,302.30 and 1,454.31

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Solution

The fourth proportional to 3,534.86, 5,302.30 and 1,454.31 is: 2,181.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.86 : 5,302.30 = 1,454.31 : x
  2. Step 2: Convert to fraction form
    3,534.86/5,302.30 = 1,454.31/x
  3. Step 3: Cross multiply
    3,534.86x = 5,302.30 × 1,454.31
  4. Step 4: Simplify right side
    3,534.86x = 7,711,184.28
  5. Step 5: Solve for x
    x = 7,711,184.28/3,534.86
  6. Step 6: Final answer
    x = 2,181.47

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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.