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Finding the Fourth Proportional to 5,204.12, 7,806.42 and 1,506.74

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Solution

The fourth proportional to 5,204.12, 7,806.42 and 1,506.74 is: 2,260.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.12 : 7,806.42 = 1,506.74 : x
  2. Step 2: Convert to fraction form
    5,204.12/7,806.42 = 1,506.74/x
  3. Step 3: Cross multiply
    5,204.12x = 7,806.42 × 1,506.74
  4. Step 4: Simplify right side
    5,204.12x = 11,762,206.24
  5. Step 5: Solve for x
    x = 11,762,206.24/5,204.12
  6. Step 6: Final answer
    x = 2,260.17

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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.