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Finding the Fourth Proportional to 4,972.88, 6,867.42 and 4,506.32

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Solution

The fourth proportional to 4,972.88, 6,867.42 and 4,506.32 is: 6,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.88 : 6,867.42 = 4,506.32 : x
  2. Step 2: Convert to fraction form
    4,972.88/6,867.42 = 4,506.32/x
  3. Step 3: Cross multiply
    4,972.88x = 6,867.42 × 4,506.32
  4. Step 4: Simplify right side
    4,972.88x = 30,946,792.09
  5. Step 5: Solve for x
    x = 30,946,792.09/4,972.88
  6. Step 6: Final answer
    x = 6,223.11

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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.