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Finding the Fourth Proportional to 4,644.05, 6,966.08 and 2,009.40

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Solution

The fourth proportional to 4,644.05, 6,966.08 and 2,009.40 is: 3,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.05 : 6,966.08 = 2,009.40 : x
  2. Step 2: Convert to fraction form
    4,644.05/6,966.08 = 2,009.40/x
  3. Step 3: Cross multiply
    4,644.05x = 6,966.08 × 2,009.40
  4. Step 4: Simplify right side
    4,644.05x = 13,997,626.46
  5. Step 5: Solve for x
    x = 13,997,626.46/4,644.05
  6. Step 6: Final answer
    x = 3,014.10

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