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Finding the Fourth Proportional to 4,782.60, 6,599.80 and 2,658.10

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Solution

The fourth proportional to 4,782.60, 6,599.80 and 2,658.10 is: 3,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.60 : 6,599.80 = 2,658.10 : x
  2. Step 2: Convert to fraction form
    4,782.60/6,599.80 = 2,658.10/x
  3. Step 3: Cross multiply
    4,782.60x = 6,599.80 × 2,658.10
  4. Step 4: Simplify right side
    4,782.60x = 17,542,928.38
  5. Step 5: Solve for x
    x = 17,542,928.38/4,782.60
  6. Step 6: Final answer
    x = 3,668.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.