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Finding the Fourth Proportional to 5,114.10, 7,658.19 and 2,802.90

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Solution

The fourth proportional to 5,114.10, 7,658.19 and 2,802.90 is: 4,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.10 : 7,658.19 = 2,802.90 : x
  2. Step 2: Convert to fraction form
    5,114.10/7,658.19 = 2,802.90/x
  3. Step 3: Cross multiply
    5,114.10x = 7,658.19 × 2,802.90
  4. Step 4: Simplify right side
    5,114.10x = 21,465,140.75
  5. Step 5: Solve for x
    x = 21,465,140.75/5,114.10
  6. Step 6: Final answer
    x = 4,197.25

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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.