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Finding the Fourth Proportional to 5,430.82, 7,494.52 and 2,946.82

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Solution

The fourth proportional to 5,430.82, 7,494.52 and 2,946.82 is: 4,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.82 : 7,494.52 = 2,946.82 : x
  2. Step 2: Convert to fraction form
    5,430.82/7,494.52 = 2,946.82/x
  3. Step 3: Cross multiply
    5,430.82x = 7,494.52 × 2,946.82
  4. Step 4: Simplify right side
    5,430.82x = 22,084,963.95
  5. Step 5: Solve for x
    x = 22,084,963.95/5,430.82
  6. Step 6: Final answer
    x = 4,066.60

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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.