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Finding the Fourth Proportional to 5,820.49, 8,736.20 and 4,530.16

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Solution

The fourth proportional to 5,820.49, 8,736.20 and 4,530.16 is: 6,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.49 : 8,736.20 = 4,530.16 : x
  2. Step 2: Convert to fraction form
    5,820.49/8,736.20 = 4,530.16/x
  3. Step 3: Cross multiply
    5,820.49x = 8,736.20 × 4,530.16
  4. Step 4: Simplify right side
    5,820.49x = 39,576,317.46
  5. Step 5: Solve for x
    x = 39,576,317.46/5,820.49
  6. Step 6: Final answer
    x = 6,799.49

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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.