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Finding the Fourth Proportional to 7,291.86, 10,928.58 and 3,960

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Solution

The fourth proportional to 7,291.86, 10,928.58 and 3,960 is: 5,935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.86 : 10,928.58 = 3,960 : x
  2. Step 2: Convert to fraction form
    7,291.86/10,928.58 = 3,960/x
  3. Step 3: Cross multiply
    7,291.86x = 10,928.58 × 3,960
  4. Step 4: Simplify right side
    7,291.86x = 43,277,176.80
  5. Step 5: Solve for x
    x = 43,277,176.80/7,291.86
  6. Step 6: Final answer
    x = 5,935.00

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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.