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Finding the Fourth Proportional to 6,580.09, 9,078.91 and 3,746.82

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Solution

The fourth proportional to 6,580.09, 9,078.91 and 3,746.82 is: 5,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.09 : 9,078.91 = 3,746.82 : x
  2. Step 2: Convert to fraction form
    6,580.09/9,078.91 = 3,746.82/x
  3. Step 3: Cross multiply
    6,580.09x = 9,078.91 × 3,746.82
  4. Step 4: Simplify right side
    6,580.09x = 34,017,041.57
  5. Step 5: Solve for x
    x = 34,017,041.57/6,580.09
  6. Step 6: Final answer
    x = 5,169.69

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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.