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Finding the Fourth Proportional to 3,647.33, 5,461.12 and 2,903.45

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Solution

The fourth proportional to 3,647.33, 5,461.12 and 2,903.45 is: 4,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.33 : 5,461.12 = 2,903.45 : x
  2. Step 2: Convert to fraction form
    3,647.33/5,461.12 = 2,903.45/x
  3. Step 3: Cross multiply
    3,647.33x = 5,461.12 × 2,903.45
  4. Step 4: Simplify right side
    3,647.33x = 15,856,065.19
  5. Step 5: Solve for x
    x = 15,856,065.19/3,647.33
  6. Step 6: Final answer
    x = 4,347.31

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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.