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Finding the Fourth Proportional to 4,476.81, 6,713.49 and 1,702.02

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Solution

The fourth proportional to 4,476.81, 6,713.49 and 1,702.02 is: 2,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.81 : 6,713.49 = 1,702.02 : x
  2. Step 2: Convert to fraction form
    4,476.81/6,713.49 = 1,702.02/x
  3. Step 3: Cross multiply
    4,476.81x = 6,713.49 × 1,702.02
  4. Step 4: Simplify right side
    4,476.81x = 11,426,494.25
  5. Step 5: Solve for x
    x = 11,426,494.25/4,476.81
  6. Step 6: Final answer
    x = 2,552.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.