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Finding the Fourth Proportional to 4,164.71, 5,747.51 and 2,396.57

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Solution

The fourth proportional to 4,164.71, 5,747.51 and 2,396.57 is: 3,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.71 : 5,747.51 = 2,396.57 : x
  2. Step 2: Convert to fraction form
    4,164.71/5,747.51 = 2,396.57/x
  3. Step 3: Cross multiply
    4,164.71x = 5,747.51 × 2,396.57
  4. Step 4: Simplify right side
    4,164.71x = 13,774,269.32
  5. Step 5: Solve for x
    x = 13,774,269.32/4,164.71
  6. Step 6: Final answer
    x = 3,307.38

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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.