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Finding the Fourth Proportional to 4,129.02, 5,695.74 and 2,712.93

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Solution

The fourth proportional to 4,129.02, 5,695.74 and 2,712.93 is: 3,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.02 : 5,695.74 = 2,712.93 : x
  2. Step 2: Convert to fraction form
    4,129.02/5,695.74 = 2,712.93/x
  3. Step 3: Cross multiply
    4,129.02x = 5,695.74 × 2,712.93
  4. Step 4: Simplify right side
    4,129.02x = 15,452,143.92
  5. Step 5: Solve for x
    x = 15,452,143.92/4,129.02
  6. Step 6: Final answer
    x = 3,742.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.