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Finding the Fourth Proportional to 5,899.16, 8,140.32 and 3,660.80

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Solution

The fourth proportional to 5,899.16, 8,140.32 and 3,660.80 is: 5,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.16 : 8,140.32 = 3,660.80 : x
  2. Step 2: Convert to fraction form
    5,899.16/8,140.32 = 3,660.80/x
  3. Step 3: Cross multiply
    5,899.16x = 8,140.32 × 3,660.80
  4. Step 4: Simplify right side
    5,899.16x = 29,800,083.46
  5. Step 5: Solve for x
    x = 29,800,083.46/5,899.16
  6. Step 6: Final answer
    x = 5,051.58

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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.