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Finding the Fourth Proportional to 5,339.60, 7,364.28 and 3,346.40

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Solution

The fourth proportional to 5,339.60, 7,364.28 and 3,346.40 is: 4,615.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.60 : 7,364.28 = 3,346.40 : x
  2. Step 2: Convert to fraction form
    5,339.60/7,364.28 = 3,346.40/x
  3. Step 3: Cross multiply
    5,339.60x = 7,364.28 × 3,346.40
  4. Step 4: Simplify right side
    5,339.60x = 24,643,826.59
  5. Step 5: Solve for x
    x = 24,643,826.59/5,339.60
  6. Step 6: Final answer
    x = 4,615.29

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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.