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Finding the Fourth Proportional to 3,156, 4,355.43 and 1,758.75

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Solution

The fourth proportional to 3,156, 4,355.43 and 1,758.75 is: 2,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156 : 4,355.43 = 1,758.75 : x
  2. Step 2: Convert to fraction form
    3,156/4,355.43 = 1,758.75/x
  3. Step 3: Cross multiply
    3,156x = 4,355.43 × 1,758.75
  4. Step 4: Simplify right side
    3,156x = 7,660,112.51
  5. Step 5: Solve for x
    x = 7,660,112.51/3,156
  6. Step 6: Final answer
    x = 2,427.16

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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.