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Finding the Fourth Proportional to 5,057.84, 6,981.76 and 2,962.64

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Solution

The fourth proportional to 5,057.84, 6,981.76 and 2,962.64 is: 4,089.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.84 : 6,981.76 = 2,962.64 : x
  2. Step 2: Convert to fraction form
    5,057.84/6,981.76 = 2,962.64/x
  3. Step 3: Cross multiply
    5,057.84x = 6,981.76 × 2,962.64
  4. Step 4: Simplify right side
    5,057.84x = 20,684,441.45
  5. Step 5: Solve for x
    x = 20,684,441.45/5,057.84
  6. Step 6: Final answer
    x = 4,089.58

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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.