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Finding the Fourth Proportional to 3,548.34, 5,323.86 and 3,140.98

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Solution

The fourth proportional to 3,548.34, 5,323.86 and 3,140.98 is: 4,712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.34 : 5,323.86 = 3,140.98 : x
  2. Step 2: Convert to fraction form
    3,548.34/5,323.86 = 3,140.98/x
  3. Step 3: Cross multiply
    3,548.34x = 5,323.86 × 3,140.98
  4. Step 4: Simplify right side
    3,548.34x = 16,722,124.47
  5. Step 5: Solve for x
    x = 16,722,124.47/3,548.34
  6. Step 6: Final answer
    x = 4,712.66

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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.