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Finding the Fourth Proportional to 4,697.04, 7,043.24 and 1,775.58

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Solution

The fourth proportional to 4,697.04, 7,043.24 and 1,775.58 is: 2,662.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.04 : 7,043.24 = 1,775.58 : x
  2. Step 2: Convert to fraction form
    4,697.04/7,043.24 = 1,775.58/x
  3. Step 3: Cross multiply
    4,697.04x = 7,043.24 × 1,775.58
  4. Step 4: Simplify right side
    4,697.04x = 12,505,836.08
  5. Step 5: Solve for x
    x = 12,505,836.08/4,697.04
  6. Step 6: Final answer
    x = 2,662.49

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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.