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Finding the Fourth Proportional to 3,488.51, 5,232.82 and 891.45

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Solution

The fourth proportional to 3,488.51, 5,232.82 and 891.45 is: 1,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.51 : 5,232.82 = 891.45 : x
  2. Step 2: Convert to fraction form
    3,488.51/5,232.82 = 891.45/x
  3. Step 3: Cross multiply
    3,488.51x = 5,232.82 × 891.45
  4. Step 4: Simplify right side
    3,488.51x = 4,664,795.16
  5. Step 5: Solve for x
    x = 4,664,795.16/3,488.51
  6. Step 6: Final answer
    x = 1,337.19

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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.