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Finding the Fourth Proportional to 3,178.78, 4,386.99 and 1,852.57

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Solution

The fourth proportional to 3,178.78, 4,386.99 and 1,852.57 is: 2,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.78 : 4,386.99 = 1,852.57 : x
  2. Step 2: Convert to fraction form
    3,178.78/4,386.99 = 1,852.57/x
  3. Step 3: Cross multiply
    3,178.78x = 4,386.99 × 1,852.57
  4. Step 4: Simplify right side
    3,178.78x = 8,127,202.86
  5. Step 5: Solve for x
    x = 8,127,202.86/3,178.78
  6. Step 6: Final answer
    x = 2,556.70

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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.