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Finding the Fourth Proportional to 5,720.76, 8,580.42 and 1,824.84

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Solution

The fourth proportional to 5,720.76, 8,580.42 and 1,824.84 is: 2,737.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.76 : 8,580.42 = 1,824.84 : x
  2. Step 2: Convert to fraction form
    5,720.76/8,580.42 = 1,824.84/x
  3. Step 3: Cross multiply
    5,720.76x = 8,580.42 × 1,824.84
  4. Step 4: Simplify right side
    5,720.76x = 15,657,893.63
  5. Step 5: Solve for x
    x = 15,657,893.63/5,720.76
  6. Step 6: Final answer
    x = 2,737.03

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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.