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Finding the Fourth Proportional to 4,071.47, 6,107.21 and 1,149.77

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Solution

The fourth proportional to 4,071.47, 6,107.21 and 1,149.77 is: 1,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.47 : 6,107.21 = 1,149.77 : x
  2. Step 2: Convert to fraction form
    4,071.47/6,107.21 = 1,149.77/x
  3. Step 3: Cross multiply
    4,071.47x = 6,107.21 × 1,149.77
  4. Step 4: Simplify right side
    4,071.47x = 7,021,886.84
  5. Step 5: Solve for x
    x = 7,021,886.84/4,071.47
  6. Step 6: Final answer
    x = 1,724.66

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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.