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Finding the Fourth Proportional to 6,441.68, 9,664.02 and 2,058.80

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Solution

The fourth proportional to 6,441.68, 9,664.02 and 2,058.80 is: 3,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.68 : 9,664.02 = 2,058.80 : x
  2. Step 2: Convert to fraction form
    6,441.68/9,664.02 = 2,058.80/x
  3. Step 3: Cross multiply
    6,441.68x = 9,664.02 × 2,058.80
  4. Step 4: Simplify right side
    6,441.68x = 19,896,284.38
  5. Step 5: Solve for x
    x = 19,896,284.38/6,441.68
  6. Step 6: Final answer
    x = 3,088.68

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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.