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Finding the Fourth Proportional to 4,689.40, 6,476.88 and 3,748.45

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Solution

The fourth proportional to 4,689.40, 6,476.88 and 3,748.45 is: 5,177.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.40 : 6,476.88 = 3,748.45 : x
  2. Step 2: Convert to fraction form
    4,689.40/6,476.88 = 3,748.45/x
  3. Step 3: Cross multiply
    4,689.40x = 6,476.88 × 3,748.45
  4. Step 4: Simplify right side
    4,689.40x = 24,278,260.84
  5. Step 5: Solve for x
    x = 24,278,260.84/4,689.40
  6. Step 6: Final answer
    x = 5,177.26

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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.