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Finding the Fourth Proportional to 4,737.69, 6,536.70 and 3,059.17

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Solution

The fourth proportional to 4,737.69, 6,536.70 and 3,059.17 is: 4,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.69 : 6,536.70 = 3,059.17 : x
  2. Step 2: Convert to fraction form
    4,737.69/6,536.70 = 3,059.17/x
  3. Step 3: Cross multiply
    4,737.69x = 6,536.70 × 3,059.17
  4. Step 4: Simplify right side
    4,737.69x = 19,996,860.20
  5. Step 5: Solve for x
    x = 19,996,860.20/4,737.69
  6. Step 6: Final answer
    x = 4,220.80

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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.