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Finding the Fourth Proportional to 3,178.57, 4,386.15 and 1,852.39

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Solution

The fourth proportional to 3,178.57, 4,386.15 and 1,852.39 is: 2,556.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.57 : 4,386.15 = 1,852.39 : x
  2. Step 2: Convert to fraction form
    3,178.57/4,386.15 = 1,852.39/x
  3. Step 3: Cross multiply
    3,178.57x = 4,386.15 × 1,852.39
  4. Step 4: Simplify right side
    3,178.57x = 8,124,878.22
  5. Step 5: Solve for x
    x = 8,124,878.22/3,178.57
  6. Step 6: Final answer
    x = 2,556.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.