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Finding the Fourth Proportional to 6,100.64, 8,418.66 and 3,412.01

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Solution

The fourth proportional to 6,100.64, 8,418.66 and 3,412.01 is: 4,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.64 : 8,418.66 = 3,412.01 : x
  2. Step 2: Convert to fraction form
    6,100.64/8,418.66 = 3,412.01/x
  3. Step 3: Cross multiply
    6,100.64x = 8,418.66 × 3,412.01
  4. Step 4: Simplify right side
    6,100.64x = 28,724,552.11
  5. Step 5: Solve for x
    x = 28,724,552.11/6,100.64
  6. Step 6: Final answer
    x = 4,708.45

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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.