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Finding the Fourth Proportional to 5,042.66, 6,955.97 and 4,187.07

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Solution

The fourth proportional to 5,042.66, 6,955.97 and 4,187.07 is: 5,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.66 : 6,955.97 = 4,187.07 : x
  2. Step 2: Convert to fraction form
    5,042.66/6,955.97 = 4,187.07/x
  3. Step 3: Cross multiply
    5,042.66x = 6,955.97 × 4,187.07
  4. Step 4: Simplify right side
    5,042.66x = 29,125,133.31
  5. Step 5: Solve for x
    x = 29,125,133.31/5,042.66
  6. Step 6: Final answer
    x = 5,775.75

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1.5x scale

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.