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Finding the Fourth Proportional to 5,867.74, 8,798.14 and 2,359.40

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Solution

The fourth proportional to 5,867.74, 8,798.14 and 2,359.40 is: 3,537.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867.74 : 8,798.14 = 2,359.40 : x
  2. Step 2: Convert to fraction form
    5,867.74/8,798.14 = 2,359.40/x
  3. Step 3: Cross multiply
    5,867.74x = 8,798.14 × 2,359.40
  4. Step 4: Simplify right side
    5,867.74x = 20,758,371.34
  5. Step 5: Solve for x
    x = 20,758,371.34/5,867.74
  6. Step 6: Final answer
    x = 3,537.71

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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.