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Finding the Fourth Proportional to 4,977.54, 7,465.14 and 1,466.62

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Solution

The fourth proportional to 4,977.54, 7,465.14 and 1,466.62 is: 2,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.54 : 7,465.14 = 1,466.62 : x
  2. Step 2: Convert to fraction form
    4,977.54/7,465.14 = 1,466.62/x
  3. Step 3: Cross multiply
    4,977.54x = 7,465.14 × 1,466.62
  4. Step 4: Simplify right side
    4,977.54x = 10,948,504.96
  5. Step 5: Solve for x
    x = 10,948,504.96/4,977.54
  6. Step 6: Final answer
    x = 2,199.58

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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.