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Finding the Fourth Proportional to 3,574.64, 5,358.70 and 2,649.08

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Solution

The fourth proportional to 3,574.64, 5,358.70 and 2,649.08 is: 3,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.64 : 5,358.70 = 2,649.08 : x
  2. Step 2: Convert to fraction form
    3,574.64/5,358.70 = 2,649.08/x
  3. Step 3: Cross multiply
    3,574.64x = 5,358.70 × 2,649.08
  4. Step 4: Simplify right side
    3,574.64x = 14,195,625.00
  5. Step 5: Solve for x
    x = 14,195,625.00/3,574.64
  6. Step 6: Final answer
    x = 3,971.20

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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.