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Finding the Fourth Proportional to 6,213.48, 8,574.66 and 3,419.08

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Solution

The fourth proportional to 6,213.48, 8,574.66 and 3,419.08 is: 4,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.48 : 8,574.66 = 3,419.08 : x
  2. Step 2: Convert to fraction form
    6,213.48/8,574.66 = 3,419.08/x
  3. Step 3: Cross multiply
    6,213.48x = 8,574.66 × 3,419.08
  4. Step 4: Simplify right side
    6,213.48x = 29,317,448.51
  5. Step 5: Solve for x
    x = 29,317,448.51/6,213.48
  6. Step 6: Final answer
    x = 4,718.36

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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.