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Finding the Fourth Proportional to 5,212.76, 7,819.19 and 1,317.16

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Solution

The fourth proportional to 5,212.76, 7,819.19 and 1,317.16 is: 1,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.76 : 7,819.19 = 1,317.16 : x
  2. Step 2: Convert to fraction form
    5,212.76/7,819.19 = 1,317.16/x
  3. Step 3: Cross multiply
    5,212.76x = 7,819.19 × 1,317.16
  4. Step 4: Simplify right side
    5,212.76x = 10,299,117.71
  5. Step 5: Solve for x
    x = 10,299,117.71/5,212.76
  6. Step 6: Final answer
    x = 1,975.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.