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Finding the Fourth Proportional to 4,888.78, 7,333.10 and 1,191.01

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Solution

The fourth proportional to 4,888.78, 7,333.10 and 1,191.01 is: 1,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,888.78 : 7,333.10 = 1,191.01 : x
  2. Step 2: Convert to fraction form
    4,888.78/7,333.10 = 1,191.01/x
  3. Step 3: Cross multiply
    4,888.78x = 7,333.10 × 1,191.01
  4. Step 4: Simplify right side
    4,888.78x = 8,733,795.43
  5. Step 5: Solve for x
    x = 8,733,795.43/4,888.78
  6. Step 6: Final answer
    x = 1,786.50

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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.