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Finding the Fourth Proportional to 5,130.78, 7,697.13 and 2,053.02

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Solution

The fourth proportional to 5,130.78, 7,697.13 and 2,053.02 is: 3,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.78 : 7,697.13 = 2,053.02 : x
  2. Step 2: Convert to fraction form
    5,130.78/7,697.13 = 2,053.02/x
  3. Step 3: Cross multiply
    5,130.78x = 7,697.13 × 2,053.02
  4. Step 4: Simplify right side
    5,130.78x = 15,802,361.83
  5. Step 5: Solve for x
    x = 15,802,361.83/5,130.78
  6. Step 6: Final answer
    x = 3,079.91

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