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Finding the Fourth Proportional to 5,429.95, 8,145.63 and 1,534.46

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Solution

The fourth proportional to 5,429.95, 8,145.63 and 1,534.46 is: 2,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.95 : 8,145.63 = 1,534.46 : x
  2. Step 2: Convert to fraction form
    5,429.95/8,145.63 = 1,534.46/x
  3. Step 3: Cross multiply
    5,429.95x = 8,145.63 × 1,534.46
  4. Step 4: Simplify right side
    5,429.95x = 12,499,102.68
  5. Step 5: Solve for x
    x = 12,499,102.68/5,429.95
  6. Step 6: Final answer
    x = 2,301.88

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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.