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Finding the Fourth Proportional to 5,901.64, 8,144.30 and 3,248.98

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Solution

The fourth proportional to 5,901.64, 8,144.30 and 3,248.98 is: 4,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.64 : 8,144.30 = 3,248.98 : x
  2. Step 2: Convert to fraction form
    5,901.64/8,144.30 = 3,248.98/x
  3. Step 3: Cross multiply
    5,901.64x = 8,144.30 × 3,248.98
  4. Step 4: Simplify right side
    5,901.64x = 26,460,667.81
  5. Step 5: Solve for x
    x = 26,460,667.81/5,901.64
  6. Step 6: Final answer
    x = 4,483.61

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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.