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Finding the Fourth Proportional to 4,792.66, 7,190.07 and 1,461.21

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Solution

The fourth proportional to 4,792.66, 7,190.07 and 1,461.21 is: 2,192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.66 : 7,190.07 = 1,461.21 : x
  2. Step 2: Convert to fraction form
    4,792.66/7,190.07 = 1,461.21/x
  3. Step 3: Cross multiply
    4,792.66x = 7,190.07 × 1,461.21
  4. Step 4: Simplify right side
    4,792.66x = 10,506,202.18
  5. Step 5: Solve for x
    x = 10,506,202.18/4,792.66
  6. Step 6: Final answer
    x = 2,192.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.