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Finding the Fourth Proportional to 3,109.35, 4,290.89 and 1,712.10

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Solution

The fourth proportional to 3,109.35, 4,290.89 and 1,712.10 is: 2,362.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.35 : 4,290.89 = 1,712.10 : x
  2. Step 2: Convert to fraction form
    3,109.35/4,290.89 = 1,712.10/x
  3. Step 3: Cross multiply
    3,109.35x = 4,290.89 × 1,712.10
  4. Step 4: Simplify right side
    3,109.35x = 7,346,432.77
  5. Step 5: Solve for x
    x = 7,346,432.77/3,109.35
  6. Step 6: Final answer
    x = 2,362.69

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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.