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Finding the Fourth Proportional to 5,124.46, 7,674.09 and 3,270.10

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Solution

The fourth proportional to 5,124.46, 7,674.09 and 3,270.10 is: 4,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,124.46 : 7,674.09 = 3,270.10 : x
  2. Step 2: Convert to fraction form
    5,124.46/7,674.09 = 3,270.10/x
  3. Step 3: Cross multiply
    5,124.46x = 7,674.09 × 3,270.10
  4. Step 4: Simplify right side
    5,124.46x = 25,095,041.71
  5. Step 5: Solve for x
    x = 25,095,041.71/5,124.46
  6. Step 6: Final answer
    x = 4,897.11

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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.