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Finding the Fourth Proportional to 4,739.69, 6,539.46 and 3,061.17

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Solution

The fourth proportional to 4,739.69, 6,539.46 and 3,061.17 is: 4,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.69 : 6,539.46 = 3,061.17 : x
  2. Step 2: Convert to fraction form
    4,739.69/6,539.46 = 3,061.17/x
  3. Step 3: Cross multiply
    4,739.69x = 6,539.46 × 3,061.17
  4. Step 4: Simplify right side
    4,739.69x = 20,018,398.77
  5. Step 5: Solve for x
    x = 20,018,398.77/4,739.69
  6. Step 6: Final answer
    x = 4,223.57

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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.