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Finding the Fourth Proportional to 3,466.91, 4,784.32 and 2,051.57

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Solution

The fourth proportional to 3,466.91, 4,784.32 and 2,051.57 is: 2,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.91 : 4,784.32 = 2,051.57 : x
  2. Step 2: Convert to fraction form
    3,466.91/4,784.32 = 2,051.57/x
  3. Step 3: Cross multiply
    3,466.91x = 4,784.32 × 2,051.57
  4. Step 4: Simplify right side
    3,466.91x = 9,815,367.38
  5. Step 5: Solve for x
    x = 9,815,367.38/3,466.91
  6. Step 6: Final answer
    x = 2,831.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.