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Finding the Fourth Proportional to 3,184.76, 4,751.58 and 2,833.93

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Solution

The fourth proportional to 3,184.76, 4,751.58 and 2,833.93 is: 4,228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.76 : 4,751.58 = 2,833.93 : x
  2. Step 2: Convert to fraction form
    3,184.76/4,751.58 = 2,833.93/x
  3. Step 3: Cross multiply
    3,184.76x = 4,751.58 × 2,833.93
  4. Step 4: Simplify right side
    3,184.76x = 13,465,661.68
  5. Step 5: Solve for x
    x = 13,465,661.68/3,184.76
  6. Step 6: Final answer
    x = 4,228.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.