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Finding the Fourth Proportional to 4,977.48, 7,466.14 and 1,690.52

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Solution

The fourth proportional to 4,977.48, 7,466.14 and 1,690.52 is: 2,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.48 : 7,466.14 = 1,690.52 : x
  2. Step 2: Convert to fraction form
    4,977.48/7,466.14 = 1,690.52/x
  3. Step 3: Cross multiply
    4,977.48x = 7,466.14 × 1,690.52
  4. Step 4: Simplify right side
    4,977.48x = 12,621,658.99
  5. Step 5: Solve for x
    x = 12,621,658.99/4,977.48
  6. Step 6: Final answer
    x = 2,535.75

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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.