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Finding the Fourth Proportional to 3,139.46, 4,709.22 and 1,407.68

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Solution

The fourth proportional to 3,139.46, 4,709.22 and 1,407.68 is: 2,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.46 : 4,709.22 = 1,407.68 : x
  2. Step 2: Convert to fraction form
    3,139.46/4,709.22 = 1,407.68/x
  3. Step 3: Cross multiply
    3,139.46x = 4,709.22 × 1,407.68
  4. Step 4: Simplify right side
    3,139.46x = 6,629,074.81
  5. Step 5: Solve for x
    x = 6,629,074.81/3,139.46
  6. Step 6: Final answer
    x = 2,111.53

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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.