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Finding the Fourth Proportional to 5,820.64, 8,730.30 and 5,478

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Solution

The fourth proportional to 5,820.64, 8,730.30 and 5,478 is: 8,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.64 : 8,730.30 = 5,478 : x
  2. Step 2: Convert to fraction form
    5,820.64/8,730.30 = 5,478/x
  3. Step 3: Cross multiply
    5,820.64x = 8,730.30 × 5,478
  4. Step 4: Simplify right side
    5,820.64x = 47,824,583.40
  5. Step 5: Solve for x
    x = 47,824,583.40/5,820.64
  6. Step 6: Final answer
    x = 8,216.38

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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.