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Finding the Fourth Proportional to 3,097.92, 4,648.47 and 2,058.64

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Solution

The fourth proportional to 3,097.92, 4,648.47 and 2,058.64 is: 3,089.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.92 : 4,648.47 = 2,058.64 : x
  2. Step 2: Convert to fraction form
    3,097.92/4,648.47 = 2,058.64/x
  3. Step 3: Cross multiply
    3,097.92x = 4,648.47 × 2,058.64
  4. Step 4: Simplify right side
    3,097.92x = 9,569,503.04
  5. Step 5: Solve for x
    x = 9,569,503.04/3,097.92
  6. Step 6: Final answer
    x = 3,089.01

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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.