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Finding the Fourth Proportional to 4,825.55, 7,197.75 and 4,382.61

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Solution

The fourth proportional to 4,825.55, 7,197.75 and 4,382.61 is: 6,537.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.55 : 7,197.75 = 4,382.61 : x
  2. Step 2: Convert to fraction form
    4,825.55/7,197.75 = 4,382.61/x
  3. Step 3: Cross multiply
    4,825.55x = 7,197.75 × 4,382.61
  4. Step 4: Simplify right side
    4,825.55x = 31,544,931.13
  5. Step 5: Solve for x
    x = 31,544,931.13/4,825.55
  6. Step 6: Final answer
    x = 6,537.07

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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.