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Finding the Fourth Proportional to 5,594.64, 8,390.32 and 3,858

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Solution

The fourth proportional to 5,594.64, 8,390.32 and 3,858 is: 5,785.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,594.64 : 8,390.32 = 3,858 : x
  2. Step 2: Convert to fraction form
    5,594.64/8,390.32 = 3,858/x
  3. Step 3: Cross multiply
    5,594.64x = 8,390.32 × 3,858
  4. Step 4: Simplify right side
    5,594.64x = 32,369,854.56
  5. Step 5: Solve for x
    x = 32,369,854.56/5,594.64
  6. Step 6: Final answer
    x = 5,785.87

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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.