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Finding the Fourth Proportional to 4,510.62, 6,225.86 and 2,742.80

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Solution

The fourth proportional to 4,510.62, 6,225.86 and 2,742.80 is: 3,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.62 : 6,225.86 = 2,742.80 : x
  2. Step 2: Convert to fraction form
    4,510.62/6,225.86 = 2,742.80/x
  3. Step 3: Cross multiply
    4,510.62x = 6,225.86 × 2,742.80
  4. Step 4: Simplify right side
    4,510.62x = 17,076,264.54
  5. Step 5: Solve for x
    x = 17,076,264.54/4,510.62
  6. Step 6: Final answer
    x = 3,785.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.