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Finding the Fourth Proportional to 4,658.96, 6,429.24 and 2,563.10

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Solution

The fourth proportional to 4,658.96, 6,429.24 and 2,563.10 is: 3,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.96 : 6,429.24 = 2,563.10 : x
  2. Step 2: Convert to fraction form
    4,658.96/6,429.24 = 2,563.10/x
  3. Step 3: Cross multiply
    4,658.96x = 6,429.24 × 2,563.10
  4. Step 4: Simplify right side
    4,658.96x = 16,478,785.04
  5. Step 5: Solve for x
    x = 16,478,785.04/4,658.96
  6. Step 6: Final answer
    x = 3,537.01

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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.