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Finding the Fourth Proportional to 4,097.61, 6,142.77 and 3,000.51

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Solution

The fourth proportional to 4,097.61, 6,142.77 and 3,000.51 is: 4,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097.61 : 6,142.77 = 3,000.51 : x
  2. Step 2: Convert to fraction form
    4,097.61/6,142.77 = 3,000.51/x
  3. Step 3: Cross multiply
    4,097.61x = 6,142.77 × 3,000.51
  4. Step 4: Simplify right side
    4,097.61x = 18,431,442.81
  5. Step 5: Solve for x
    x = 18,431,442.81/4,097.61
  6. Step 6: Final answer
    x = 4,498.10

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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.