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Finding the Fourth Proportional to 5,730.86, 8,598.87 and 3,650.32

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Solution

The fourth proportional to 5,730.86, 8,598.87 and 3,650.32 is: 5,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.86 : 8,598.87 = 3,650.32 : x
  2. Step 2: Convert to fraction form
    5,730.86/8,598.87 = 3,650.32/x
  3. Step 3: Cross multiply
    5,730.86x = 8,598.87 × 3,650.32
  4. Step 4: Simplify right side
    5,730.86x = 31,388,637.89
  5. Step 5: Solve for x
    x = 31,388,637.89/5,730.86
  6. Step 6: Final answer
    x = 5,477.13

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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.