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Finding the Fourth Proportional to 5,642.66, 7,790.00 and 4,225.84

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Solution

The fourth proportional to 5,642.66, 7,790.00 and 4,225.84 is: 5,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.66 : 7,790.00 = 4,225.84 : x
  2. Step 2: Convert to fraction form
    5,642.66/7,790.00 = 4,225.84/x
  3. Step 3: Cross multiply
    5,642.66x = 7,790.00 × 4,225.84
  4. Step 4: Simplify right side
    5,642.66x = 32,919,253.00
  5. Step 5: Solve for x
    x = 32,919,253.00/5,642.66
  6. Step 6: Final answer
    x = 5,833.99

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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.