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Finding the Fourth Proportional to 3,643.01, 5,460.65 and 2,079.68

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Solution

The fourth proportional to 3,643.01, 5,460.65 and 2,079.68 is: 3,117.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.01 : 5,460.65 = 2,079.68 : x
  2. Step 2: Convert to fraction form
    3,643.01/5,460.65 = 2,079.68/x
  3. Step 3: Cross multiply
    3,643.01x = 5,460.65 × 2,079.68
  4. Step 4: Simplify right side
    3,643.01x = 11,356,374.69
  5. Step 5: Solve for x
    x = 11,356,374.69/3,643.01
  6. Step 6: Final answer
    x = 3,117.31

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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.