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Finding the Fourth Proportional to 5,833.16, 8,746.98 and 1,883.66

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Solution

The fourth proportional to 5,833.16, 8,746.98 and 1,883.66 is: 2,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.16 : 8,746.98 = 1,883.66 : x
  2. Step 2: Convert to fraction form
    5,833.16/8,746.98 = 1,883.66/x
  3. Step 3: Cross multiply
    5,833.16x = 8,746.98 × 1,883.66
  4. Step 4: Simplify right side
    5,833.16x = 16,476,336.35
  5. Step 5: Solve for x
    x = 16,476,336.35/5,833.16
  6. Step 6: Final answer
    x = 2,824.60

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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.