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Finding the Fourth Proportional to 5,208.50, 7,840.65 and 4,672.69

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Solution

The fourth proportional to 5,208.50, 7,840.65 and 4,672.69 is: 7,034.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.50 : 7,840.65 = 4,672.69 : x
  2. Step 2: Convert to fraction form
    5,208.50/7,840.65 = 4,672.69/x
  3. Step 3: Cross multiply
    5,208.50x = 7,840.65 × 4,672.69
  4. Step 4: Simplify right side
    5,208.50x = 36,636,898.49
  5. Step 5: Solve for x
    x = 36,636,898.49/5,208.50
  6. Step 6: Final answer
    x = 7,034.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.