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Finding the Fourth Proportional to 4,606.28, 6,894.74 and 3,671.30

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Solution

The fourth proportional to 4,606.28, 6,894.74 and 3,671.30 is: 5,495.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.28 : 6,894.74 = 3,671.30 : x
  2. Step 2: Convert to fraction form
    4,606.28/6,894.74 = 3,671.30/x
  3. Step 3: Cross multiply
    4,606.28x = 6,894.74 × 3,671.30
  4. Step 4: Simplify right side
    4,606.28x = 25,312,658.96
  5. Step 5: Solve for x
    x = 25,312,658.96/4,606.28
  6. Step 6: Final answer
    x = 5,495.25

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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.