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Finding the Fourth Proportional to 5,701.71, 7,868.90 and 3,463.07

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Solution

The fourth proportional to 5,701.71, 7,868.90 and 3,463.07 is: 4,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.71 : 7,868.90 = 3,463.07 : x
  2. Step 2: Convert to fraction form
    5,701.71/7,868.90 = 3,463.07/x
  3. Step 3: Cross multiply
    5,701.71x = 7,868.90 × 3,463.07
  4. Step 4: Simplify right side
    5,701.71x = 27,250,579.85
  5. Step 5: Solve for x
    x = 27,250,579.85/5,701.71
  6. Step 6: Final answer
    x = 4,779.37

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1.5x scale

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.