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Finding the Fourth Proportional to 6,565.05, 9,848.99 and 3,052.49

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Solution

The fourth proportional to 6,565.05, 9,848.99 and 3,052.49 is: 4,579.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.05 : 9,848.99 = 3,052.49 : x
  2. Step 2: Convert to fraction form
    6,565.05/9,848.99 = 3,052.49/x
  3. Step 3: Cross multiply
    6,565.05x = 9,848.99 × 3,052.49
  4. Step 4: Simplify right side
    6,565.05x = 30,063,901.87
  5. Step 5: Solve for x
    x = 30,063,901.87/6,565.05
  6. Step 6: Final answer
    x = 4,579.39

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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.