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Finding the Fourth Proportional to 4,308.80, 6,410.75 and 4,294.22

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Solution

The fourth proportional to 4,308.80, 6,410.75 and 4,294.22 is: 6,389.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.80 : 6,410.75 = 4,294.22 : x
  2. Step 2: Convert to fraction form
    4,308.80/6,410.75 = 4,294.22/x
  3. Step 3: Cross multiply
    4,308.80x = 6,410.75 × 4,294.22
  4. Step 4: Simplify right side
    4,308.80x = 27,529,117.34
  5. Step 5: Solve for x
    x = 27,529,117.34/4,308.80
  6. Step 6: Final answer
    x = 6,389.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.