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Finding the Fourth Proportional to 7,201.60, 9,935.48 and 4,548

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Solution

The fourth proportional to 7,201.60, 9,935.48 and 4,548 is: 6,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.60 : 9,935.48 = 4,548 : x
  2. Step 2: Convert to fraction form
    7,201.60/9,935.48 = 4,548/x
  3. Step 3: Cross multiply
    7,201.60x = 9,935.48 × 4,548
  4. Step 4: Simplify right side
    7,201.60x = 45,186,563.04
  5. Step 5: Solve for x
    x = 45,186,563.04/7,201.60
  6. Step 6: Final answer
    x = 6,274.52

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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.