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Finding the Fourth Proportional to 4,843.60, 7,265.40 and 4,555.60

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Solution

The fourth proportional to 4,843.60, 7,265.40 and 4,555.60 is: 6,833.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.60 : 7,265.40 = 4,555.60 : x
  2. Step 2: Convert to fraction form
    4,843.60/7,265.40 = 4,555.60/x
  3. Step 3: Cross multiply
    4,843.60x = 7,265.40 × 4,555.60
  4. Step 4: Simplify right side
    4,843.60x = 33,098,256.24
  5. Step 5: Solve for x
    x = 33,098,256.24/4,843.60
  6. Step 6: Final answer
    x = 6,833.40

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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.