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Finding the Fourth Proportional to 5,420.81, 8,125.02 and 2,461.51

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Solution

The fourth proportional to 5,420.81, 8,125.02 and 2,461.51 is: 3,689.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.81 : 8,125.02 = 2,461.51 : x
  2. Step 2: Convert to fraction form
    5,420.81/8,125.02 = 2,461.51/x
  3. Step 3: Cross multiply
    5,420.81x = 8,125.02 × 2,461.51
  4. Step 4: Simplify right side
    5,420.81x = 19,999,817.98
  5. Step 5: Solve for x
    x = 19,999,817.98/5,420.81
  6. Step 6: Final answer
    x = 3,689.45

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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.