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Finding the Fourth Proportional to 4,888.07, 7,332 and 1,190.31

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Solution

The fourth proportional to 4,888.07, 7,332 and 1,190.31 is: 1,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,888.07 : 7,332 = 1,190.31 : x
  2. Step 2: Convert to fraction form
    4,888.07/7,332 = 1,190.31/x
  3. Step 3: Cross multiply
    4,888.07x = 7,332 × 1,190.31
  4. Step 4: Simplify right side
    4,888.07x = 8,727,352.92
  5. Step 5: Solve for x
    x = 8,727,352.92/4,888.07
  6. Step 6: Final answer
    x = 1,785.44

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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.