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Finding the Fourth Proportional to 4,774.40, 7,157.84 and 2,308.56

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Solution

The fourth proportional to 4,774.40, 7,157.84 and 2,308.56 is: 3,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.40 : 7,157.84 = 2,308.56 : x
  2. Step 2: Convert to fraction form
    4,774.40/7,157.84 = 2,308.56/x
  3. Step 3: Cross multiply
    4,774.40x = 7,157.84 × 2,308.56
  4. Step 4: Simplify right side
    4,774.40x = 16,524,303.11
  5. Step 5: Solve for x
    x = 16,524,303.11/4,774.40
  6. Step 6: Final answer
    x = 3,461.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.