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Finding the Fourth Proportional to 3,113.54, 4,292.54 and 2,580.42

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Solution

The fourth proportional to 3,113.54, 4,292.54 and 2,580.42 is: 3,557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.54 : 4,292.54 = 2,580.42 : x
  2. Step 2: Convert to fraction form
    3,113.54/4,292.54 = 2,580.42/x
  3. Step 3: Cross multiply
    3,113.54x = 4,292.54 × 2,580.42
  4. Step 4: Simplify right side
    3,113.54x = 11,076,556.07
  5. Step 5: Solve for x
    x = 11,076,556.07/3,113.54
  6. Step 6: Final answer
    x = 3,557.55

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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.