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Finding the Fourth Proportional to 4,742.98, 6,532.01 and 4,640.90

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Solution

The fourth proportional to 4,742.98, 6,532.01 and 4,640.90 is: 6,391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.98 : 6,532.01 = 4,640.90 : x
  2. Step 2: Convert to fraction form
    4,742.98/6,532.01 = 4,640.90/x
  3. Step 3: Cross multiply
    4,742.98x = 6,532.01 × 4,640.90
  4. Step 4: Simplify right side
    4,742.98x = 30,314,405.21
  5. Step 5: Solve for x
    x = 30,314,405.21/4,742.98
  6. Step 6: Final answer
    x = 6,391.43

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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.