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Finding the Fourth Proportional to 4,820.74, 7,226.22 and 1,897.90

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Solution

The fourth proportional to 4,820.74, 7,226.22 and 1,897.90 is: 2,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,820.74 : 7,226.22 = 1,897.90 : x
  2. Step 2: Convert to fraction form
    4,820.74/7,226.22 = 1,897.90/x
  3. Step 3: Cross multiply
    4,820.74x = 7,226.22 × 1,897.90
  4. Step 4: Simplify right side
    4,820.74x = 13,714,642.94
  5. Step 5: Solve for x
    x = 13,714,642.94/4,820.74
  6. Step 6: Final answer
    x = 2,844.92

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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.