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Finding the Fourth Proportional to 5,852.54, 8,777.51 and 1,691.64

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Solution

The fourth proportional to 5,852.54, 8,777.51 and 1,691.64 is: 2,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.54 : 8,777.51 = 1,691.64 : x
  2. Step 2: Convert to fraction form
    5,852.54/8,777.51 = 1,691.64/x
  3. Step 3: Cross multiply
    5,852.54x = 8,777.51 × 1,691.64
  4. Step 4: Simplify right side
    5,852.54x = 14,848,387.02
  5. Step 5: Solve for x
    x = 14,848,387.02/5,852.54
  6. Step 6: Final answer
    x = 2,537.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.