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Finding the Fourth Proportional to 3,756.72, 5,185.80 and 2,430.48

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Solution

The fourth proportional to 3,756.72, 5,185.80 and 2,430.48 is: 3,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.72 : 5,185.80 = 2,430.48 : x
  2. Step 2: Convert to fraction form
    3,756.72/5,185.80 = 2,430.48/x
  3. Step 3: Cross multiply
    3,756.72x = 5,185.80 × 2,430.48
  4. Step 4: Simplify right side
    3,756.72x = 12,603,983.18
  5. Step 5: Solve for x
    x = 12,603,983.18/3,756.72
  6. Step 6: Final answer
    x = 3,355.05

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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.