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Finding the Fourth Proportional to 3,612.48, 4,978.48 and 3,548.64

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Solution

The fourth proportional to 3,612.48, 4,978.48 and 3,548.64 is: 4,890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.48 : 4,978.48 = 3,548.64 : x
  2. Step 2: Convert to fraction form
    3,612.48/4,978.48 = 3,548.64/x
  3. Step 3: Cross multiply
    3,612.48x = 4,978.48 × 3,548.64
  4. Step 4: Simplify right side
    3,612.48x = 17,666,833.27
  5. Step 5: Solve for x
    x = 17,666,833.27/3,612.48
  6. Step 6: Final answer
    x = 4,890.50

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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.