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Finding the Fourth Proportional to 6,509.26, 8,981.58 and 3,857.50

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Solution

The fourth proportional to 6,509.26, 8,981.58 and 3,857.50 is: 5,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.26 : 8,981.58 = 3,857.50 : x
  2. Step 2: Convert to fraction form
    6,509.26/8,981.58 = 3,857.50/x
  3. Step 3: Cross multiply
    6,509.26x = 8,981.58 × 3,857.50
  4. Step 4: Simplify right side
    6,509.26x = 34,646,444.85
  5. Step 5: Solve for x
    x = 34,646,444.85/6,509.26
  6. Step 6: Final answer
    x = 5,322.64

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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.