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Finding the Fourth Proportional to 3,798.21, 5,699.20 and 1,718.00

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Solution

The fourth proportional to 3,798.21, 5,699.20 and 1,718.00 is: 2,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.21 : 5,699.20 = 1,718.00 : x
  2. Step 2: Convert to fraction form
    3,798.21/5,699.20 = 1,718.00/x
  3. Step 3: Cross multiply
    3,798.21x = 5,699.20 × 1,718.00
  4. Step 4: Simplify right side
    3,798.21x = 9,791,188.51
  5. Step 5: Solve for x
    x = 9,791,188.51/3,798.21
  6. Step 6: Final answer
    x = 2,577.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.