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Finding the Fourth Proportional to 4,969.19, 6,853.49 and 4,370.40

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Solution

The fourth proportional to 4,969.19, 6,853.49 and 4,370.40 is: 6,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.19 : 6,853.49 = 4,370.40 : x
  2. Step 2: Convert to fraction form
    4,969.19/6,853.49 = 4,370.40/x
  3. Step 3: Cross multiply
    4,969.19x = 6,853.49 × 4,370.40
  4. Step 4: Simplify right side
    4,969.19x = 29,952,487.23
  5. Step 5: Solve for x
    x = 29,952,487.23/4,969.19
  6. Step 6: Final answer
    x = 6,027.64

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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.