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Finding the Fourth Proportional to 4,607.84, 6,909.96 and 2,009

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Solution

The fourth proportional to 4,607.84, 6,909.96 and 2,009 is: 3,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.84 : 6,909.96 = 2,009 : x
  2. Step 2: Convert to fraction form
    4,607.84/6,909.96 = 2,009/x
  3. Step 3: Cross multiply
    4,607.84x = 6,909.96 × 2,009
  4. Step 4: Simplify right side
    4,607.84x = 13,882,109.64
  5. Step 5: Solve for x
    x = 13,882,109.64/4,607.84
  6. Step 6: Final answer
    x = 3,012.72

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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.