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Finding the Fourth Proportional to 4,728.67, 7,089.71 and 2,094.74

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Solution

The fourth proportional to 4,728.67, 7,089.71 and 2,094.74 is: 3,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.67 : 7,089.71 = 2,094.74 : x
  2. Step 2: Convert to fraction form
    4,728.67/7,089.71 = 2,094.74/x
  3. Step 3: Cross multiply
    4,728.67x = 7,089.71 × 2,094.74
  4. Step 4: Simplify right side
    4,728.67x = 14,851,063.68
  5. Step 5: Solve for x
    x = 14,851,063.68/4,728.67
  6. Step 6: Final answer
    x = 3,140.65

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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.