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Finding the Fourth Proportional to 5,749.80, 8,630.46 and 3,875.46

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Solution

The fourth proportional to 5,749.80, 8,630.46 and 3,875.46 is: 5,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,749.80 : 8,630.46 = 3,875.46 : x
  2. Step 2: Convert to fraction form
    5,749.80/8,630.46 = 3,875.46/x
  3. Step 3: Cross multiply
    5,749.80x = 8,630.46 × 3,875.46
  4. Step 4: Simplify right side
    5,749.80x = 33,447,002.51
  5. Step 5: Solve for x
    x = 33,447,002.51/5,749.80
  6. Step 6: Final answer
    x = 5,817.07

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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.