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Finding the Fourth Proportional to 5,068.32, 6,994.56 and 2,972.64

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Solution

The fourth proportional to 5,068.32, 6,994.56 and 2,972.64 is: 4,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.32 : 6,994.56 = 2,972.64 : x
  2. Step 2: Convert to fraction form
    5,068.32/6,994.56 = 2,972.64/x
  3. Step 3: Cross multiply
    5,068.32x = 6,994.56 × 2,972.64
  4. Step 4: Simplify right side
    5,068.32x = 20,792,308.84
  5. Step 5: Solve for x
    x = 20,792,308.84/5,068.32
  6. Step 6: Final answer
    x = 4,102.41

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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.