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Finding the Fourth Proportional to 3,093.17, 4,642.29 and 1,533.11

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Solution

The fourth proportional to 3,093.17, 4,642.29 and 1,533.11 is: 2,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.17 : 4,642.29 = 1,533.11 : x
  2. Step 2: Convert to fraction form
    3,093.17/4,642.29 = 1,533.11/x
  3. Step 3: Cross multiply
    3,093.17x = 4,642.29 × 1,533.11
  4. Step 4: Simplify right side
    3,093.17x = 7,117,118.01
  5. Step 5: Solve for x
    x = 7,117,118.01/3,093.17
  6. Step 6: Final answer
    x = 2,300.92

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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.