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Finding the Fourth Proportional to 5,059.64, 6,981.38 and 2,821.46

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Solution

The fourth proportional to 5,059.64, 6,981.38 and 2,821.46 is: 3,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.64 : 6,981.38 = 2,821.46 : x
  2. Step 2: Convert to fraction form
    5,059.64/6,981.38 = 2,821.46/x
  3. Step 3: Cross multiply
    5,059.64x = 6,981.38 × 2,821.46
  4. Step 4: Simplify right side
    5,059.64x = 19,697,684.41
  5. Step 5: Solve for x
    x = 19,697,684.41/5,059.64
  6. Step 6: Final answer
    x = 3,893.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.