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Finding the Fourth Proportional to 3,117.95, 4,270 and 3,076.94

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Solution

The fourth proportional to 3,117.95, 4,270 and 3,076.94 is: 4,213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.95 : 4,270 = 3,076.94 : x
  2. Step 2: Convert to fraction form
    3,117.95/4,270 = 3,076.94/x
  3. Step 3: Cross multiply
    3,117.95x = 4,270 × 3,076.94
  4. Step 4: Simplify right side
    3,117.95x = 13,138,533.80
  5. Step 5: Solve for x
    x = 13,138,533.80/3,117.95
  6. Step 6: Final answer
    x = 4,213.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.