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Finding the Fourth Proportional to 4,658.44, 6,426.96 and 2,641.60

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Solution

The fourth proportional to 4,658.44, 6,426.96 and 2,641.60 is: 3,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.44 : 6,426.96 = 2,641.60 : x
  2. Step 2: Convert to fraction form
    4,658.44/6,426.96 = 2,641.60/x
  3. Step 3: Cross multiply
    4,658.44x = 6,426.96 × 2,641.60
  4. Step 4: Simplify right side
    4,658.44x = 16,977,457.54
  5. Step 5: Solve for x
    x = 16,977,457.54/4,658.44
  6. Step 6: Final answer
    x = 3,644.45

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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.