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Finding the Fourth Proportional to 5,870.74, 8,808.14 and 3,676.86

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Solution

The fourth proportional to 5,870.74, 8,808.14 and 3,676.86 is: 5,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.74 : 8,808.14 = 3,676.86 : x
  2. Step 2: Convert to fraction form
    5,870.74/8,808.14 = 3,676.86/x
  3. Step 3: Cross multiply
    5,870.74x = 8,808.14 × 3,676.86
  4. Step 4: Simplify right side
    5,870.74x = 32,386,297.64
  5. Step 5: Solve for x
    x = 32,386,297.64/5,870.74
  6. Step 6: Final answer
    x = 5,516.56

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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.