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Finding the Fourth Proportional to 4,661.84, 6,990.96 and 1,738.56

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Solution

The fourth proportional to 4,661.84, 6,990.96 and 1,738.56 is: 2,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.84 : 6,990.96 = 1,738.56 : x
  2. Step 2: Convert to fraction form
    4,661.84/6,990.96 = 1,738.56/x
  3. Step 3: Cross multiply
    4,661.84x = 6,990.96 × 1,738.56
  4. Step 4: Simplify right side
    4,661.84x = 12,154,203.42
  5. Step 5: Solve for x
    x = 12,154,203.42/4,661.84
  6. Step 6: Final answer
    x = 2,607.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.