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Finding the Fourth Proportional to 4,811.47, 6,634.62 and 4,176.55

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Solution

The fourth proportional to 4,811.47, 6,634.62 and 4,176.55 is: 5,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.47 : 6,634.62 = 4,176.55 : x
  2. Step 2: Convert to fraction form
    4,811.47/6,634.62 = 4,176.55/x
  3. Step 3: Cross multiply
    4,811.47x = 6,634.62 × 4,176.55
  4. Step 4: Simplify right side
    4,811.47x = 27,709,854.99
  5. Step 5: Solve for x
    x = 27,709,854.99/4,811.47
  6. Step 6: Final answer
    x = 5,759.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.