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Finding the Fourth Proportional to 4,488.84, 6,734.34 and 1,410.84

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Solution

The fourth proportional to 4,488.84, 6,734.34 and 1,410.84 is: 2,116.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.84 : 6,734.34 = 1,410.84 : x
  2. Step 2: Convert to fraction form
    4,488.84/6,734.34 = 1,410.84/x
  3. Step 3: Cross multiply
    4,488.84x = 6,734.34 × 1,410.84
  4. Step 4: Simplify right side
    4,488.84x = 9,501,076.25
  5. Step 5: Solve for x
    x = 9,501,076.25/4,488.84
  6. Step 6: Final answer
    x = 2,116.60

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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.