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Finding the Fourth Proportional to 4,697.70, 7,041.92 and 2,066.63

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Solution

The fourth proportional to 4,697.70, 7,041.92 and 2,066.63 is: 3,097.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.70 : 7,041.92 = 2,066.63 : x
  2. Step 2: Convert to fraction form
    4,697.70/7,041.92 = 2,066.63/x
  3. Step 3: Cross multiply
    4,697.70x = 7,041.92 × 2,066.63
  4. Step 4: Simplify right side
    4,697.70x = 14,552,997.59
  5. Step 5: Solve for x
    x = 14,552,997.59/4,697.70
  6. Step 6: Final answer
    x = 3,097.90

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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.