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Finding the Fourth Proportional to 4,621.32, 6,927.30 and 1,658.88

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Solution

The fourth proportional to 4,621.32, 6,927.30 and 1,658.88 is: 2,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,621.32 : 6,927.30 = 1,658.88 : x
  2. Step 2: Convert to fraction form
    4,621.32/6,927.30 = 1,658.88/x
  3. Step 3: Cross multiply
    4,621.32x = 6,927.30 × 1,658.88
  4. Step 4: Simplify right side
    4,621.32x = 11,491,559.42
  5. Step 5: Solve for x
    x = 11,491,559.42/4,621.32
  6. Step 6: Final answer
    x = 2,486.64

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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.