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Finding the Fourth Proportional to 3,097.42, 4,647.72 and 2,058.14

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Solution

The fourth proportional to 3,097.42, 4,647.72 and 2,058.14 is: 3,088.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.42 : 4,647.72 = 2,058.14 : x
  2. Step 2: Convert to fraction form
    3,097.42/4,647.72 = 2,058.14/x
  3. Step 3: Cross multiply
    3,097.42x = 4,647.72 × 2,058.14
  4. Step 4: Simplify right side
    3,097.42x = 9,565,635.20
  5. Step 5: Solve for x
    x = 9,565,635.20/3,097.42
  6. Step 6: Final answer
    x = 3,088.26

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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.