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Finding the Fourth Proportional to 6,406.07, 8,840.59 and 3,717.08

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Solution

The fourth proportional to 6,406.07, 8,840.59 and 3,717.08 is: 5,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.07 : 8,840.59 = 3,717.08 : x
  2. Step 2: Convert to fraction form
    6,406.07/8,840.59 = 3,717.08/x
  3. Step 3: Cross multiply
    6,406.07x = 8,840.59 × 3,717.08
  4. Step 4: Simplify right side
    6,406.07x = 32,861,218.14
  5. Step 5: Solve for x
    x = 32,861,218.14/6,406.07
  6. Step 6: Final answer
    x = 5,129.70

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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.