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Finding the Fourth Proportional to 5,099.16, 7,648.02 and 2,501.40

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Solution

The fourth proportional to 5,099.16, 7,648.02 and 2,501.40 is: 3,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.16 : 7,648.02 = 2,501.40 : x
  2. Step 2: Convert to fraction form
    5,099.16/7,648.02 = 2,501.40/x
  3. Step 3: Cross multiply
    5,099.16x = 7,648.02 × 2,501.40
  4. Step 4: Simplify right side
    5,099.16x = 19,130,757.23
  5. Step 5: Solve for x
    x = 19,130,757.23/5,099.16
  6. Step 6: Final answer
    x = 3,751.75

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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.