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Finding the Fourth Proportional to 4,765.78, 7,150.72 and 2,302.45

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Solution

The fourth proportional to 4,765.78, 7,150.72 and 2,302.45 is: 3,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.78 : 7,150.72 = 2,302.45 : x
  2. Step 2: Convert to fraction form
    4,765.78/7,150.72 = 2,302.45/x
  3. Step 3: Cross multiply
    4,765.78x = 7,150.72 × 2,302.45
  4. Step 4: Simplify right side
    4,765.78x = 16,464,175.26
  5. Step 5: Solve for x
    x = 16,464,175.26/4,765.78
  6. Step 6: Final answer
    x = 3,454.67

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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.