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Finding the Fourth Proportional to 4,777.58, 7,166.37 and 4,668.23

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Solution

The fourth proportional to 4,777.58, 7,166.37 and 4,668.23 is: 7,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.58 : 7,166.37 = 4,668.23 : x
  2. Step 2: Convert to fraction form
    4,777.58/7,166.37 = 4,668.23/x
  3. Step 3: Cross multiply
    4,777.58x = 7,166.37 × 4,668.23
  4. Step 4: Simplify right side
    4,777.58x = 33,454,263.43
  5. Step 5: Solve for x
    x = 33,454,263.43/4,777.58
  6. Step 6: Final answer
    x = 7,002.35

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Similar ratio
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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.