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Finding the Fourth Proportional to 4,536.64, 6,801.18 and 3,152.67

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Solution

The fourth proportional to 4,536.64, 6,801.18 and 3,152.67 is: 4,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.64 : 6,801.18 = 3,152.67 : x
  2. Step 2: Convert to fraction form
    4,536.64/6,801.18 = 3,152.67/x
  3. Step 3: Cross multiply
    4,536.64x = 6,801.18 × 3,152.67
  4. Step 4: Simplify right side
    4,536.64x = 21,441,876.15
  5. Step 5: Solve for x
    x = 21,441,876.15/4,536.64
  6. Step 6: Final answer
    x = 4,726.38

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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.