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Finding the Fourth Proportional to 5,643.01, 8,472.71 and 4,166.78

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Solution

The fourth proportional to 5,643.01, 8,472.71 and 4,166.78 is: 6,256.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.01 : 8,472.71 = 4,166.78 : x
  2. Step 2: Convert to fraction form
    5,643.01/8,472.71 = 4,166.78/x
  3. Step 3: Cross multiply
    5,643.01x = 8,472.71 × 4,166.78
  4. Step 4: Simplify right side
    5,643.01x = 35,303,950.17
  5. Step 5: Solve for x
    x = 35,303,950.17/5,643.01
  6. Step 6: Final answer
    x = 6,256.23

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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.