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Finding the Fourth Proportional to 5,764.08, 8,645.40 and 2,477.20

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Solution

The fourth proportional to 5,764.08, 8,645.40 and 2,477.20 is: 3,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.08 : 8,645.40 = 2,477.20 : x
  2. Step 2: Convert to fraction form
    5,764.08/8,645.40 = 2,477.20/x
  3. Step 3: Cross multiply
    5,764.08x = 8,645.40 × 2,477.20
  4. Step 4: Simplify right side
    5,764.08x = 21,416,384.88
  5. Step 5: Solve for x
    x = 21,416,384.88/5,764.08
  6. Step 6: Final answer
    x = 3,715.49

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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.