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Finding the Fourth Proportional to 4,977.29, 7,464.87 and 1,466.33

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Solution

The fourth proportional to 4,977.29, 7,464.87 and 1,466.33 is: 2,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.29 : 7,464.87 = 1,466.33 : x
  2. Step 2: Convert to fraction form
    4,977.29/7,464.87 = 1,466.33/x
  3. Step 3: Cross multiply
    4,977.29x = 7,464.87 × 1,466.33
  4. Step 4: Simplify right side
    4,977.29x = 10,945,925.50
  5. Step 5: Solve for x
    x = 10,945,925.50/4,977.29
  6. Step 6: Final answer
    x = 2,199.17

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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.