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Finding the Fourth Proportional to 5,788.42, 8,677.44 and 3,709.02

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Solution

The fourth proportional to 5,788.42, 8,677.44 and 3,709.02 is: 5,560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.42 : 8,677.44 = 3,709.02 : x
  2. Step 2: Convert to fraction form
    5,788.42/8,677.44 = 3,709.02/x
  3. Step 3: Cross multiply
    5,788.42x = 8,677.44 × 3,709.02
  4. Step 4: Simplify right side
    5,788.42x = 32,184,739.58
  5. Step 5: Solve for x
    x = 32,184,739.58/5,788.42
  6. Step 6: Final answer
    x = 5,560.20

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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.