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Finding the Fourth Proportional to 3,920.16, 5,879.02 and 1,730.74

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Solution

The fourth proportional to 3,920.16, 5,879.02 and 1,730.74 is: 2,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.16 : 5,879.02 = 1,730.74 : x
  2. Step 2: Convert to fraction form
    3,920.16/5,879.02 = 1,730.74/x
  3. Step 3: Cross multiply
    3,920.16x = 5,879.02 × 1,730.74
  4. Step 4: Simplify right side
    3,920.16x = 10,175,055.07
  5. Step 5: Solve for x
    x = 10,175,055.07/3,920.16
  6. Step 6: Final answer
    x = 2,595.57

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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.