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Finding the Fourth Proportional to 5,568.57, 7,690.58 and 3,784.02

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Solution

The fourth proportional to 5,568.57, 7,690.58 and 3,784.02 is: 5,225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.57 : 7,690.58 = 3,784.02 : x
  2. Step 2: Convert to fraction form
    5,568.57/7,690.58 = 3,784.02/x
  3. Step 3: Cross multiply
    5,568.57x = 7,690.58 × 3,784.02
  4. Step 4: Simplify right side
    5,568.57x = 29,101,289.61
  5. Step 5: Solve for x
    x = 29,101,289.61/5,568.57
  6. Step 6: Final answer
    x = 5,225.99

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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.