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Finding the Fourth Proportional to 4,658.48, 6,988.08 and 3,440.96

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Solution

The fourth proportional to 4,658.48, 6,988.08 and 3,440.96 is: 5,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.48 : 6,988.08 = 3,440.96 : x
  2. Step 2: Convert to fraction form
    4,658.48/6,988.08 = 3,440.96/x
  3. Step 3: Cross multiply
    4,658.48x = 6,988.08 × 3,440.96
  4. Step 4: Simplify right side
    4,658.48x = 24,045,703.76
  5. Step 5: Solve for x
    x = 24,045,703.76/4,658.48
  6. Step 6: Final answer
    x = 5,161.71

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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.