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Finding the Fourth Proportional to 3,533.74, 4,876.95 and 2,258.80

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Solution

The fourth proportional to 3,533.74, 4,876.95 and 2,258.80 is: 3,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.74 : 4,876.95 = 2,258.80 : x
  2. Step 2: Convert to fraction form
    3,533.74/4,876.95 = 2,258.80/x
  3. Step 3: Cross multiply
    3,533.74x = 4,876.95 × 2,258.80
  4. Step 4: Simplify right side
    3,533.74x = 11,016,054.66
  5. Step 5: Solve for x
    x = 11,016,054.66/3,533.74
  6. Step 6: Final answer
    x = 3,117.39

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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.