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Finding the Fourth Proportional to 4,098.63, 5,658.45 and 2,703.81

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Solution

The fourth proportional to 4,098.63, 5,658.45 and 2,703.81 is: 3,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.63 : 5,658.45 = 2,703.81 : x
  2. Step 2: Convert to fraction form
    4,098.63/5,658.45 = 2,703.81/x
  3. Step 3: Cross multiply
    4,098.63x = 5,658.45 × 2,703.81
  4. Step 4: Simplify right side
    4,098.63x = 15,299,373.69
  5. Step 5: Solve for x
    x = 15,299,373.69/4,098.63
  6. Step 6: Final answer
    x = 3,732.80

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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.