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Finding the Fourth Proportional to 4,006.64, 6,009.56 and 1,409.78

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Solution

The fourth proportional to 4,006.64, 6,009.56 and 1,409.78 is: 2,114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006.64 : 6,009.56 = 1,409.78 : x
  2. Step 2: Convert to fraction form
    4,006.64/6,009.56 = 1,409.78/x
  3. Step 3: Cross multiply
    4,006.64x = 6,009.56 × 1,409.78
  4. Step 4: Simplify right side
    4,006.64x = 8,472,157.50
  5. Step 5: Solve for x
    x = 8,472,157.50/4,006.64
  6. Step 6: Final answer
    x = 2,114.53

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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.