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Finding the Fourth Proportional to 4,697.69, 6,482.72 and 2,573.19

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Solution

The fourth proportional to 4,697.69, 6,482.72 and 2,573.19 is: 3,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.69 : 6,482.72 = 2,573.19 : x
  2. Step 2: Convert to fraction form
    4,697.69/6,482.72 = 2,573.19/x
  3. Step 3: Cross multiply
    4,697.69x = 6,482.72 × 2,573.19
  4. Step 4: Simplify right side
    4,697.69x = 16,681,257.41
  5. Step 5: Solve for x
    x = 16,681,257.41/4,697.69
  6. Step 6: Final answer
    x = 3,550.95

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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.