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Finding the Fourth Proportional to 5,775.54, 8,662.63 and 1,615.87

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Solution

The fourth proportional to 5,775.54, 8,662.63 and 1,615.87 is: 2,423.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.54 : 8,662.63 = 1,615.87 : x
  2. Step 2: Convert to fraction form
    5,775.54/8,662.63 = 1,615.87/x
  3. Step 3: Cross multiply
    5,775.54x = 8,662.63 × 1,615.87
  4. Step 4: Simplify right side
    5,775.54x = 13,997,695.38
  5. Step 5: Solve for x
    x = 13,997,695.38/5,775.54
  6. Step 6: Final answer
    x = 2,423.62

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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.