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Finding the Fourth Proportional to 4,735.69, 6,532.58 and 2,964.22

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Solution

The fourth proportional to 4,735.69, 6,532.58 and 2,964.22 is: 4,088.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735.69 : 6,532.58 = 2,964.22 : x
  2. Step 2: Convert to fraction form
    4,735.69/6,532.58 = 2,964.22/x
  3. Step 3: Cross multiply
    4,735.69x = 6,532.58 × 2,964.22
  4. Step 4: Simplify right side
    4,735.69x = 19,363,989.47
  5. Step 5: Solve for x
    x = 19,363,989.47/4,735.69
  6. Step 6: Final answer
    x = 4,088.95

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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.