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Finding the Fourth Proportional to 5,809.64, 8,015.12 and 3,569.72

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Solution

The fourth proportional to 5,809.64, 8,015.12 and 3,569.72 is: 4,924.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.64 : 8,015.12 = 3,569.72 : x
  2. Step 2: Convert to fraction form
    5,809.64/8,015.12 = 3,569.72/x
  3. Step 3: Cross multiply
    5,809.64x = 8,015.12 × 3,569.72
  4. Step 4: Simplify right side
    5,809.64x = 28,611,734.17
  5. Step 5: Solve for x
    x = 28,611,734.17/5,809.64
  6. Step 6: Final answer
    x = 4,924.87

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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.