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Finding the Fourth Proportional to 4,802.76, 6,627.80 and 2,813.22

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Solution

The fourth proportional to 4,802.76, 6,627.80 and 2,813.22 is: 3,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.76 : 6,627.80 = 2,813.22 : x
  2. Step 2: Convert to fraction form
    4,802.76/6,627.80 = 2,813.22/x
  3. Step 3: Cross multiply
    4,802.76x = 6,627.80 × 2,813.22
  4. Step 4: Simplify right side
    4,802.76x = 18,645,459.52
  5. Step 5: Solve for x
    x = 18,645,459.52/4,802.76
  6. Step 6: Final answer
    x = 3,882.24

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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.