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Finding the Fourth Proportional to 5,207.75, 7,812.30 and 1,510.10

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Solution

The fourth proportional to 5,207.75, 7,812.30 and 1,510.10 is: 2,265.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.75 : 7,812.30 = 1,510.10 : x
  2. Step 2: Convert to fraction form
    5,207.75/7,812.30 = 1,510.10/x
  3. Step 3: Cross multiply
    5,207.75x = 7,812.30 × 1,510.10
  4. Step 4: Simplify right side
    5,207.75x = 11,797,354.23
  5. Step 5: Solve for x
    x = 11,797,354.23/5,207.75
  6. Step 6: Final answer
    x = 2,265.35

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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.