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Finding the Fourth Proportional to 5,429.74, 8,143.74 and 1,534.42

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Solution

The fourth proportional to 5,429.74, 8,143.74 and 1,534.42 is: 2,301.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.74 : 8,143.74 = 1,534.42 : x
  2. Step 2: Convert to fraction form
    5,429.74/8,143.74 = 1,534.42/x
  3. Step 3: Cross multiply
    5,429.74x = 8,143.74 × 1,534.42
  4. Step 4: Simplify right side
    5,429.74x = 12,495,917.53
  5. Step 5: Solve for x
    x = 12,495,917.53/5,429.74
  6. Step 6: Final answer
    x = 2,301.38

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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.