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Finding the Fourth Proportional to 5,130.80, 7,696.02 and 2,052.80

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Solution

The fourth proportional to 5,130.80, 7,696.02 and 2,052.80 is: 3,079.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.80 : 7,696.02 = 2,052.80 : x
  2. Step 2: Convert to fraction form
    5,130.80/7,696.02 = 2,052.80/x
  3. Step 3: Cross multiply
    5,130.80x = 7,696.02 × 2,052.80
  4. Step 4: Simplify right side
    5,130.80x = 15,798,389.86
  5. Step 5: Solve for x
    x = 15,798,389.86/5,130.80
  6. Step 6: Final answer
    x = 3,079.13

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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.