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Finding the Fourth Proportional to 4,792.92, 7,189.36 and 1,506.26

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Solution

The fourth proportional to 4,792.92, 7,189.36 and 1,506.26 is: 2,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.92 : 7,189.36 = 1,506.26 : x
  2. Step 2: Convert to fraction form
    4,792.92/7,189.36 = 1,506.26/x
  3. Step 3: Cross multiply
    4,792.92x = 7,189.36 × 1,506.26
  4. Step 4: Simplify right side
    4,792.92x = 10,829,045.39
  5. Step 5: Solve for x
    x = 10,829,045.39/4,792.92
  6. Step 6: Final answer
    x = 2,259.38

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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.