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Finding the Fourth Proportional to 6,578.77, 9,870.89 and 3,458.02

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Solution

The fourth proportional to 6,578.77, 9,870.89 and 3,458.02 is: 5,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.77 : 9,870.89 = 3,458.02 : x
  2. Step 2: Convert to fraction form
    6,578.77/9,870.89 = 3,458.02/x
  3. Step 3: Cross multiply
    6,578.77x = 9,870.89 × 3,458.02
  4. Step 4: Simplify right side
    6,578.77x = 34,133,756.01
  5. Step 5: Solve for x
    x = 34,133,756.01/6,578.77
  6. Step 6: Final answer
    x = 5,188.47

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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.