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Finding the Fourth Proportional to 5,458, 7,533.36 and 3,101.44

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Solution

The fourth proportional to 5,458, 7,533.36 and 3,101.44 is: 4,280.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458 : 7,533.36 = 3,101.44 : x
  2. Step 2: Convert to fraction form
    5,458/7,533.36 = 3,101.44/x
  3. Step 3: Cross multiply
    5,458x = 7,533.36 × 3,101.44
  4. Step 4: Simplify right side
    5,458x = 23,364,264.04
  5. Step 5: Solve for x
    x = 23,364,264.04/5,458
  6. Step 6: Final answer
    x = 4,280.74

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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.