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Finding the Fourth Proportional to 5,693.90, 8,540.21 and 1,534.32

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Solution

The fourth proportional to 5,693.90, 8,540.21 and 1,534.32 is: 2,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.90 : 8,540.21 = 1,534.32 : x
  2. Step 2: Convert to fraction form
    5,693.90/8,540.21 = 1,534.32/x
  3. Step 3: Cross multiply
    5,693.90x = 8,540.21 × 1,534.32
  4. Step 4: Simplify right side
    5,693.90x = 13,103,390.51
  5. Step 5: Solve for x
    x = 13,103,390.51/5,693.90
  6. Step 6: Final answer
    x = 2,301.31

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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.