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Finding the Fourth Proportional to 4,697.62, 7,046.44 and 1,775.93

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Solution

The fourth proportional to 4,697.62, 7,046.44 and 1,775.93 is: 2,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.62 : 7,046.44 = 1,775.93 : x
  2. Step 2: Convert to fraction form
    4,697.62/7,046.44 = 1,775.93/x
  3. Step 3: Cross multiply
    4,697.62x = 7,046.44 × 1,775.93
  4. Step 4: Simplify right side
    4,697.62x = 12,513,944.52
  5. Step 5: Solve for x
    x = 12,513,944.52/4,697.62
  6. Step 6: Final answer
    x = 2,663.89

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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.