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Finding the Fourth Proportional to 3,617.87, 5,416.47 and 3,271.86

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Solution

The fourth proportional to 3,617.87, 5,416.47 and 3,271.86 is: 4,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.87 : 5,416.47 = 3,271.86 : x
  2. Step 2: Convert to fraction form
    3,617.87/5,416.47 = 3,271.86/x
  3. Step 3: Cross multiply
    3,617.87x = 5,416.47 × 3,271.86
  4. Step 4: Simplify right side
    3,617.87x = 17,721,931.53
  5. Step 5: Solve for x
    x = 17,721,931.53/3,617.87
  6. Step 6: Final answer
    x = 4,898.45

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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.