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Finding the Fourth Proportional to 5,715.68, 8,570.68 and 1,819.58

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Solution

The fourth proportional to 5,715.68, 8,570.68 and 1,819.58 is: 2,728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.68 : 8,570.68 = 1,819.58 : x
  2. Step 2: Convert to fraction form
    5,715.68/8,570.68 = 1,819.58/x
  3. Step 3: Cross multiply
    5,715.68x = 8,570.68 × 1,819.58
  4. Step 4: Simplify right side
    5,715.68x = 15,594,985.96
  5. Step 5: Solve for x
    x = 15,594,985.96/5,715.68
  6. Step 6: Final answer
    x = 2,728.46

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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.