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Finding the Fourth Proportional to 4,605.94, 6,907.47 and 1,831.84

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Solution

The fourth proportional to 4,605.94, 6,907.47 and 1,831.84 is: 2,747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.94 : 6,907.47 = 1,831.84 : x
  2. Step 2: Convert to fraction form
    4,605.94/6,907.47 = 1,831.84/x
  3. Step 3: Cross multiply
    4,605.94x = 6,907.47 × 1,831.84
  4. Step 4: Simplify right side
    4,605.94x = 12,653,379.84
  5. Step 5: Solve for x
    x = 12,653,379.84/4,605.94
  6. Step 6: Final answer
    x = 2,747.19

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Why These Related Problems?

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