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Finding the Fourth Proportional to 3,658.78, 5,488.48 and 1,466.32

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Solution

The fourth proportional to 3,658.78, 5,488.48 and 1,466.32 is: 2,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.78 : 5,488.48 = 1,466.32 : x
  2. Step 2: Convert to fraction form
    3,658.78/5,488.48 = 1,466.32/x
  3. Step 3: Cross multiply
    3,658.78x = 5,488.48 × 1,466.32
  4. Step 4: Simplify right side
    3,658.78x = 8,047,867.99
  5. Step 5: Solve for x
    x = 8,047,867.99/3,658.78
  6. Step 6: Final answer
    x = 2,199.60

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1.5x scale

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.