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Finding the Fourth Proportional to 3,532.93, 4,864.33 and 3,000.67

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Solution

The fourth proportional to 3,532.93, 4,864.33 and 3,000.67 is: 4,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.93 : 4,864.33 = 3,000.67 : x
  2. Step 2: Convert to fraction form
    3,532.93/4,864.33 = 3,000.67/x
  3. Step 3: Cross multiply
    3,532.93x = 4,864.33 × 3,000.67
  4. Step 4: Simplify right side
    3,532.93x = 14,596,249.10
  5. Step 5: Solve for x
    x = 14,596,249.10/3,532.93
  6. Step 6: Final answer
    x = 4,131.49

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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.