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Finding the Fourth Proportional to 5,077.44, 7,617.06 and 1,792.44

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Solution

The fourth proportional to 5,077.44, 7,617.06 and 1,792.44 is: 2,688.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.44 : 7,617.06 = 1,792.44 : x
  2. Step 2: Convert to fraction form
    5,077.44/7,617.06 = 1,792.44/x
  3. Step 3: Cross multiply
    5,077.44x = 7,617.06 × 1,792.44
  4. Step 4: Simplify right side
    5,077.44x = 13,653,123.03
  5. Step 5: Solve for x
    x = 13,653,123.03/5,077.44
  6. Step 6: Final answer
    x = 2,688.98

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1.5x scale

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.