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Finding the Fourth Proportional to 5,210.68, 7,190.68 and 2,820.60

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Solution

The fourth proportional to 5,210.68, 7,190.68 and 2,820.60 is: 3,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.68 : 7,190.68 = 2,820.60 : x
  2. Step 2: Convert to fraction form
    5,210.68/7,190.68 = 2,820.60/x
  3. Step 3: Cross multiply
    5,210.68x = 7,190.68 × 2,820.60
  4. Step 4: Simplify right side
    5,210.68x = 20,282,032.01
  5. Step 5: Solve for x
    x = 20,282,032.01/5,210.68
  6. Step 6: Final answer
    x = 3,892.40

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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.