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Finding the Fourth Proportional to 4,733.64, 6,532.29 and 2,966.22

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Solution

The fourth proportional to 4,733.64, 6,532.29 and 2,966.22 is: 4,093.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.64 : 6,532.29 = 2,966.22 : x
  2. Step 2: Convert to fraction form
    4,733.64/6,532.29 = 2,966.22/x
  3. Step 3: Cross multiply
    4,733.64x = 6,532.29 × 2,966.22
  4. Step 4: Simplify right side
    4,733.64x = 19,376,209.24
  5. Step 5: Solve for x
    x = 19,376,209.24/4,733.64
  6. Step 6: Final answer
    x = 4,093.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.