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Finding the Fourth Proportional to 4,550.69, 6,831.50 and 3,085.40

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Solution

The fourth proportional to 4,550.69, 6,831.50 and 3,085.40 is: 4,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.69 : 6,831.50 = 3,085.40 : x
  2. Step 2: Convert to fraction form
    4,550.69/6,831.50 = 3,085.40/x
  3. Step 3: Cross multiply
    4,550.69x = 6,831.50 × 3,085.40
  4. Step 4: Simplify right side
    4,550.69x = 21,077,860.52
  5. Step 5: Solve for x
    x = 21,077,860.52/4,550.69
  6. Step 6: Final answer
    x = 4,631.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.