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Finding the Fourth Proportional to 5,813.54, 8,719 and 1,653.46

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Solution

The fourth proportional to 5,813.54, 8,719 and 1,653.46 is: 2,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.54 : 8,719 = 1,653.46 : x
  2. Step 2: Convert to fraction form
    5,813.54/8,719 = 1,653.46/x
  3. Step 3: Cross multiply
    5,813.54x = 8,719 × 1,653.46
  4. Step 4: Simplify right side
    5,813.54x = 14,416,517.74
  5. Step 5: Solve for x
    x = 14,416,517.74/5,813.54
  6. Step 6: Final answer
    x = 2,479.82

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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.