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Finding the Fourth Proportional to 3,156.38, 4,355.93 and 1,759.13

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Solution

The fourth proportional to 3,156.38, 4,355.93 and 1,759.13 is: 2,427.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.38 : 4,355.93 = 1,759.13 : x
  2. Step 2: Convert to fraction form
    3,156.38/4,355.93 = 1,759.13/x
  3. Step 3: Cross multiply
    3,156.38x = 4,355.93 × 1,759.13
  4. Step 4: Simplify right side
    3,156.38x = 7,662,629.76
  5. Step 5: Solve for x
    x = 7,662,629.76/3,156.38
  6. Step 6: Final answer
    x = 2,427.67

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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.