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Finding the Fourth Proportional to 4,768.83, 6,582.74 and 3,587.85

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Solution

The fourth proportional to 4,768.83, 6,582.74 and 3,587.85 is: 4,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.83 : 6,582.74 = 3,587.85 : x
  2. Step 2: Convert to fraction form
    4,768.83/6,582.74 = 3,587.85/x
  3. Step 3: Cross multiply
    4,768.83x = 6,582.74 × 3,587.85
  4. Step 4: Simplify right side
    4,768.83x = 23,617,865.77
  5. Step 5: Solve for x
    x = 23,617,865.77/4,768.83
  6. Step 6: Final answer
    x = 4,952.55

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1.5x scale

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.