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Finding the Fourth Proportional to 6,448.87, 8,901.35 and 4,211.10

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Solution

The fourth proportional to 6,448.87, 8,901.35 and 4,211.10 is: 5,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.87 : 8,901.35 = 4,211.10 : x
  2. Step 2: Convert to fraction form
    6,448.87/8,901.35 = 4,211.10/x
  3. Step 3: Cross multiply
    6,448.87x = 8,901.35 × 4,211.10
  4. Step 4: Simplify right side
    6,448.87x = 37,484,431.68
  5. Step 5: Solve for x
    x = 37,484,431.68/6,448.87
  6. Step 6: Final answer
    x = 5,812.56

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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.