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Finding the Fourth Proportional to 5,884.16, 8,828.22 and 3,690.32

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Solution

The fourth proportional to 5,884.16, 8,828.22 and 3,690.32 is: 5,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.16 : 8,828.22 = 3,690.32 : x
  2. Step 2: Convert to fraction form
    5,884.16/8,828.22 = 3,690.32/x
  3. Step 3: Cross multiply
    5,884.16x = 8,828.22 × 3,690.32
  4. Step 4: Simplify right side
    5,884.16x = 32,578,956.83
  5. Step 5: Solve for x
    x = 32,578,956.83/5,884.16
  6. Step 6: Final answer
    x = 5,536.72

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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.