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Finding the Fourth Proportional to 5,458.59, 7,533 and 3,101.09

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Solution

The fourth proportional to 5,458.59, 7,533 and 3,101.09 is: 4,279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.59 : 7,533 = 3,101.09 : x
  2. Step 2: Convert to fraction form
    5,458.59/7,533 = 3,101.09/x
  3. Step 3: Cross multiply
    5,458.59x = 7,533 × 3,101.09
  4. Step 4: Simplify right side
    5,458.59x = 23,360,473.31
  5. Step 5: Solve for x
    x = 23,360,473.31/5,458.59
  6. Step 6: Final answer
    x = 4,279.58

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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.