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Finding the Fourth Proportional to 3,765.47, 5,646.17 and 2,990.46

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Solution

The fourth proportional to 3,765.47, 5,646.17 and 2,990.46 is: 4,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.47 : 5,646.17 = 2,990.46 : x
  2. Step 2: Convert to fraction form
    3,765.47/5,646.17 = 2,990.46/x
  3. Step 3: Cross multiply
    3,765.47x = 5,646.17 × 2,990.46
  4. Step 4: Simplify right side
    3,765.47x = 16,884,653.01
  5. Step 5: Solve for x
    x = 16,884,653.01/3,765.47
  6. Step 6: Final answer
    x = 4,484.07

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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.