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Finding the Fourth Proportional to 5,582.64, 8,371.98 and 1,884.12

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Solution

The fourth proportional to 5,582.64, 8,371.98 and 1,884.12 is: 2,825.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.64 : 8,371.98 = 1,884.12 : x
  2. Step 2: Convert to fraction form
    5,582.64/8,371.98 = 1,884.12/x
  3. Step 3: Cross multiply
    5,582.64x = 8,371.98 × 1,884.12
  4. Step 4: Simplify right side
    5,582.64x = 15,773,814.96
  5. Step 5: Solve for x
    x = 15,773,814.96/5,582.64
  6. Step 6: Final answer
    x = 2,825.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.