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Finding the Fourth Proportional to 4,878.76, 6,732.52 and 2,782.80

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Solution

The fourth proportional to 4,878.76, 6,732.52 and 2,782.80 is: 3,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.76 : 6,732.52 = 2,782.80 : x
  2. Step 2: Convert to fraction form
    4,878.76/6,732.52 = 2,782.80/x
  3. Step 3: Cross multiply
    4,878.76x = 6,732.52 × 2,782.80
  4. Step 4: Simplify right side
    4,878.76x = 18,735,256.66
  5. Step 5: Solve for x
    x = 18,735,256.66/4,878.76
  6. Step 6: Final answer
    x = 3,840.17

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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.