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Finding the Fourth Proportional to 6,441.59, 9,661.45 and 2,058.47

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Solution

The fourth proportional to 6,441.59, 9,661.45 and 2,058.47 is: 3,087.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.59 : 9,661.45 = 2,058.47 : x
  2. Step 2: Convert to fraction form
    6,441.59/9,661.45 = 2,058.47/x
  3. Step 3: Cross multiply
    6,441.59x = 9,661.45 × 2,058.47
  4. Step 4: Simplify right side
    6,441.59x = 19,887,804.98
  5. Step 5: Solve for x
    x = 19,887,804.98/6,441.59
  6. Step 6: Final answer
    x = 3,087.41

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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.