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Finding the Fourth Proportional to 5,925.89, 8,889.28 and 1,765.58

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Solution

The fourth proportional to 5,925.89, 8,889.28 and 1,765.58 is: 2,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925.89 : 8,889.28 = 1,765.58 : x
  2. Step 2: Convert to fraction form
    5,925.89/8,889.28 = 1,765.58/x
  3. Step 3: Cross multiply
    5,925.89x = 8,889.28 × 1,765.58
  4. Step 4: Simplify right side
    5,925.89x = 15,694,686.12
  5. Step 5: Solve for x
    x = 15,694,686.12/5,925.89
  6. Step 6: Final answer
    x = 2,648.49

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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.