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Finding the Fourth Proportional to 5,141.84, 7,690.72 and 4,768.34

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Solution

The fourth proportional to 5,141.84, 7,690.72 and 4,768.34 is: 7,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.84 : 7,690.72 = 4,768.34 : x
  2. Step 2: Convert to fraction form
    5,141.84/7,690.72 = 4,768.34/x
  3. Step 3: Cross multiply
    5,141.84x = 7,690.72 × 4,768.34
  4. Step 4: Simplify right side
    5,141.84x = 36,672,004.67
  5. Step 5: Solve for x
    x = 36,672,004.67/5,141.84
  6. Step 6: Final answer
    x = 7,132.08

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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.