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Finding the Fourth Proportional to 4,509.84, 6,764.76 and 1,588.44

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Solution

The fourth proportional to 4,509.84, 6,764.76 and 1,588.44 is: 2,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.84 : 6,764.76 = 1,588.44 : x
  2. Step 2: Convert to fraction form
    4,509.84/6,764.76 = 1,588.44/x
  3. Step 3: Cross multiply
    4,509.84x = 6,764.76 × 1,588.44
  4. Step 4: Simplify right side
    4,509.84x = 10,745,415.37
  5. Step 5: Solve for x
    x = 10,745,415.37/4,509.84
  6. Step 6: Final answer
    x = 2,382.66

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Similar ratio
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1.5x scale

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.