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Finding the Fourth Proportional to 5,326.58, 7,991.04 and 1,629.10

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Solution

The fourth proportional to 5,326.58, 7,991.04 and 1,629.10 is: 2,444.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.58 : 7,991.04 = 1,629.10 : x
  2. Step 2: Convert to fraction form
    5,326.58/7,991.04 = 1,629.10/x
  3. Step 3: Cross multiply
    5,326.58x = 7,991.04 × 1,629.10
  4. Step 4: Simplify right side
    5,326.58x = 13,018,203.26
  5. Step 5: Solve for x
    x = 13,018,203.26/5,326.58
  6. Step 6: Final answer
    x = 2,444.01

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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.