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Finding the Fourth Proportional to 5,855.61, 8,078.47 and 3,730.76

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Solution

The fourth proportional to 5,855.61, 8,078.47 and 3,730.76 is: 5,147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.61 : 8,078.47 = 3,730.76 : x
  2. Step 2: Convert to fraction form
    5,855.61/8,078.47 = 3,730.76/x
  3. Step 3: Cross multiply
    5,855.61x = 8,078.47 × 3,730.76
  4. Step 4: Simplify right side
    5,855.61x = 30,138,832.74
  5. Step 5: Solve for x
    x = 30,138,832.74/5,855.61
  6. Step 6: Final answer
    x = 5,147.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.