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Finding the Fourth Proportional to 4,644.32, 6,409.32 and 2,756.88

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Solution

The fourth proportional to 4,644.32, 6,409.32 and 2,756.88 is: 3,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.32 : 6,409.32 = 2,756.88 : x
  2. Step 2: Convert to fraction form
    4,644.32/6,409.32 = 2,756.88/x
  3. Step 3: Cross multiply
    4,644.32x = 6,409.32 × 2,756.88
  4. Step 4: Simplify right side
    4,644.32x = 17,669,726.12
  5. Step 5: Solve for x
    x = 17,669,726.12/4,644.32
  6. Step 6: Final answer
    x = 3,804.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.