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Finding the Fourth Proportional to 3,488.06, 5,232.40 and 891

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Solution

The fourth proportional to 3,488.06, 5,232.40 and 891 is: 1,336.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.06 : 5,232.40 = 891 : x
  2. Step 2: Convert to fraction form
    3,488.06/5,232.40 = 891/x
  3. Step 3: Cross multiply
    3,488.06x = 5,232.40 × 891
  4. Step 4: Simplify right side
    3,488.06x = 4,662,066.17
  5. Step 5: Solve for x
    x = 4,662,066.17/3,488.06
  6. Step 6: Final answer
    x = 1,336.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.