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Finding the Fourth Proportional to 3,412.45, 5,108.07 and 1,848.57

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Solution

The fourth proportional to 3,412.45, 5,108.07 and 1,848.57 is: 2,767.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.45 : 5,108.07 = 1,848.57 : x
  2. Step 2: Convert to fraction form
    3,412.45/5,108.07 = 1,848.57/x
  3. Step 3: Cross multiply
    3,412.45x = 5,108.07 × 1,848.57
  4. Step 4: Simplify right side
    3,412.45x = 9,442,612.74
  5. Step 5: Solve for x
    x = 9,442,612.74/3,412.45
  6. Step 6: Final answer
    x = 2,767.11

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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.