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Finding the Fourth Proportional to 3,646.46, 5,461.32 and 3,113.62

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Solution

The fourth proportional to 3,646.46, 5,461.32 and 3,113.62 is: 4,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.46 : 5,461.32 = 3,113.62 : x
  2. Step 2: Convert to fraction form
    3,646.46/5,461.32 = 3,113.62/x
  3. Step 3: Cross multiply
    3,646.46x = 5,461.32 × 3,113.62
  4. Step 4: Simplify right side
    3,646.46x = 17,004,475.18
  5. Step 5: Solve for x
    x = 17,004,475.18/3,646.46
  6. Step 6: Final answer
    x = 4,663.28

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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.