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Finding the Fourth Proportional to 6,448.00, 8,900.14 and 4,210.22

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Solution

The fourth proportional to 6,448.00, 8,900.14 and 4,210.22 is: 5,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.00 : 8,900.14 = 4,210.22 : x
  2. Step 2: Convert to fraction form
    6,448.00/8,900.14 = 4,210.22/x
  3. Step 3: Cross multiply
    6,448.00x = 8,900.14 × 4,210.22
  4. Step 4: Simplify right side
    6,448.00x = 37,471,574.94
  5. Step 5: Solve for x
    x = 37,471,574.94/6,448.00
  6. Step 6: Final answer
    x = 5,811.35

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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.