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Finding the Fourth Proportional to 6,097.80, 8,412.72 and 3,707.08

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Solution

The fourth proportional to 6,097.80, 8,412.72 and 3,707.08 is: 5,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.80 : 8,412.72 = 3,707.08 : x
  2. Step 2: Convert to fraction form
    6,097.80/8,412.72 = 3,707.08/x
  3. Step 3: Cross multiply
    6,097.80x = 8,412.72 × 3,707.08
  4. Step 4: Simplify right side
    6,097.80x = 31,186,626.06
  5. Step 5: Solve for x
    x = 31,186,626.06/6,097.80
  6. Step 6: Final answer
    x = 5,114.41

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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.