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Finding the Fourth Proportional to 6,505.61, 8,977.74 and 3,521.43

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Solution

The fourth proportional to 6,505.61, 8,977.74 and 3,521.43 is: 4,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.61 : 8,977.74 = 3,521.43 : x
  2. Step 2: Convert to fraction form
    6,505.61/8,977.74 = 3,521.43/x
  3. Step 3: Cross multiply
    6,505.61x = 8,977.74 × 3,521.43
  4. Step 4: Simplify right side
    6,505.61x = 31,614,523.24
  5. Step 5: Solve for x
    x = 31,614,523.24/6,505.61
  6. Step 6: Final answer
    x = 4,859.58

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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.