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Finding the Fourth Proportional to 5,103.16, 7,655.54 and 2,506.28

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Solution

The fourth proportional to 5,103.16, 7,655.54 and 2,506.28 is: 3,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.16 : 7,655.54 = 2,506.28 : x
  2. Step 2: Convert to fraction form
    5,103.16/7,655.54 = 2,506.28/x
  3. Step 3: Cross multiply
    5,103.16x = 7,655.54 × 2,506.28
  4. Step 4: Simplify right side
    5,103.16x = 19,186,926.79
  5. Step 5: Solve for x
    x = 19,186,926.79/5,103.16
  6. Step 6: Final answer
    x = 3,759.81

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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.