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Finding the Fourth Proportional to 5,730.78, 8,596.63 and 2,443.90

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Solution

The fourth proportional to 5,730.78, 8,596.63 and 2,443.90 is: 3,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.78 : 8,596.63 = 2,443.90 : x
  2. Step 2: Convert to fraction form
    5,730.78/8,596.63 = 2,443.90/x
  3. Step 3: Cross multiply
    5,730.78x = 8,596.63 × 2,443.90
  4. Step 4: Simplify right side
    5,730.78x = 21,009,319.44
  5. Step 5: Solve for x
    x = 21,009,319.44/5,730.78
  6. Step 6: Final answer
    x = 3,666.05

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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.