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Finding the Fourth Proportional to 3,549.83, 5,324.74 and 1,907.15

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Solution

The fourth proportional to 3,549.83, 5,324.74 and 1,907.15 is: 2,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.83 : 5,324.74 = 1,907.15 : x
  2. Step 2: Convert to fraction form
    3,549.83/5,324.74 = 1,907.15/x
  3. Step 3: Cross multiply
    3,549.83x = 5,324.74 × 1,907.15
  4. Step 4: Simplify right side
    3,549.83x = 10,155,046.50
  5. Step 5: Solve for x
    x = 10,155,046.50/3,549.83
  6. Step 6: Final answer
    x = 2,860.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.