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Finding the Fourth Proportional to 5,358.42, 8,074.14 and 4,405.86

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Solution

The fourth proportional to 5,358.42, 8,074.14 and 4,405.86 is: 6,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.42 : 8,074.14 = 4,405.86 : x
  2. Step 2: Convert to fraction form
    5,358.42/8,074.14 = 4,405.86/x
  3. Step 3: Cross multiply
    5,358.42x = 8,074.14 × 4,405.86
  4. Step 4: Simplify right side
    5,358.42x = 35,573,530.46
  5. Step 5: Solve for x
    x = 35,573,530.46/5,358.42
  6. Step 6: Final answer
    x = 6,638.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.