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Finding the Fourth Proportional to 4,796.10, 7,195.29 and 1,509.18

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Solution

The fourth proportional to 4,796.10, 7,195.29 and 1,509.18 is: 2,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.10 : 7,195.29 = 1,509.18 : x
  2. Step 2: Convert to fraction form
    4,796.10/7,195.29 = 1,509.18/x
  3. Step 3: Cross multiply
    4,796.10x = 7,195.29 × 1,509.18
  4. Step 4: Simplify right side
    4,796.10x = 10,859,006.21
  5. Step 5: Solve for x
    x = 10,859,006.21/4,796.10
  6. Step 6: Final answer
    x = 2,264.13

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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.