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Finding the Fourth Proportional to 4,667.52, 6,440.24 and 3,548.16

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Solution

The fourth proportional to 4,667.52, 6,440.24 and 3,548.16 is: 4,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.52 : 6,440.24 = 3,548.16 : x
  2. Step 2: Convert to fraction form
    4,667.52/6,440.24 = 3,548.16/x
  3. Step 3: Cross multiply
    4,667.52x = 6,440.24 × 3,548.16
  4. Step 4: Simplify right side
    4,667.52x = 22,851,001.96
  5. Step 5: Solve for x
    x = 22,851,001.96/4,667.52
  6. Step 6: Final answer
    x = 4,895.75

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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.