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Finding the Fourth Proportional to 6,448.45, 8,900.76 and 4,210.66

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Solution

The fourth proportional to 6,448.45, 8,900.76 and 4,210.66 is: 5,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.45 : 8,900.76 = 4,210.66 : x
  2. Step 2: Convert to fraction form
    6,448.45/8,900.76 = 4,210.66/x
  3. Step 3: Cross multiply
    6,448.45x = 8,900.76 × 4,210.66
  4. Step 4: Simplify right side
    6,448.45x = 37,478,064.17
  5. Step 5: Solve for x
    x = 37,478,064.17/6,448.45
  6. Step 6: Final answer
    x = 5,811.95

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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.