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Finding the Fourth Proportional to 4,416.21, 6,088.41 and 3,784

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Solution

The fourth proportional to 4,416.21, 6,088.41 and 3,784 is: 5,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.21 : 6,088.41 = 3,784 : x
  2. Step 2: Convert to fraction form
    4,416.21/6,088.41 = 3,784/x
  3. Step 3: Cross multiply
    4,416.21x = 6,088.41 × 3,784
  4. Step 4: Simplify right side
    4,416.21x = 23,038,543.44
  5. Step 5: Solve for x
    x = 23,038,543.44/4,416.21
  6. Step 6: Final answer
    x = 5,216.81

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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.