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Finding the Fourth Proportional to 5,197.68, 7,758.54 and 4,509.18

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Solution

The fourth proportional to 5,197.68, 7,758.54 and 4,509.18 is: 6,730.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.68 : 7,758.54 = 4,509.18 : x
  2. Step 2: Convert to fraction form
    5,197.68/7,758.54 = 4,509.18/x
  3. Step 3: Cross multiply
    5,197.68x = 7,758.54 × 4,509.18
  4. Step 4: Simplify right side
    5,197.68x = 34,984,653.40
  5. Step 5: Solve for x
    x = 34,984,653.40/5,197.68
  6. Step 6: Final answer
    x = 6,730.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.