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Finding the Fourth Proportional to 5,738.50, 7,919 and 3,347.62

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Solution

The fourth proportional to 5,738.50, 7,919 and 3,347.62 is: 4,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.50 : 7,919 = 3,347.62 : x
  2. Step 2: Convert to fraction form
    5,738.50/7,919 = 3,347.62/x
  3. Step 3: Cross multiply
    5,738.50x = 7,919 × 3,347.62
  4. Step 4: Simplify right side
    5,738.50x = 26,509,802.78
  5. Step 5: Solve for x
    x = 26,509,802.78/5,738.50
  6. Step 6: Final answer
    x = 4,619.64

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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.