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Finding the Fourth Proportional to 5,584.41, 8,376.62 and 1,688.82

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Solution

The fourth proportional to 5,584.41, 8,376.62 and 1,688.82 is: 2,533.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.41 : 8,376.62 = 1,688.82 : x
  2. Step 2: Convert to fraction form
    5,584.41/8,376.62 = 1,688.82/x
  3. Step 3: Cross multiply
    5,584.41x = 8,376.62 × 1,688.82
  4. Step 4: Simplify right side
    5,584.41x = 14,146,594.94
  5. Step 5: Solve for x
    x = 14,146,594.94/5,584.41
  6. Step 6: Final answer
    x = 2,533.23

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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.