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Finding the Fourth Proportional to 5,536.40, 8,305.62 and 1,587.50

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Solution

The fourth proportional to 5,536.40, 8,305.62 and 1,587.50 is: 2,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.40 : 8,305.62 = 1,587.50 : x
  2. Step 2: Convert to fraction form
    5,536.40/8,305.62 = 1,587.50/x
  3. Step 3: Cross multiply
    5,536.40x = 8,305.62 × 1,587.50
  4. Step 4: Simplify right side
    5,536.40x = 13,185,171.75
  5. Step 5: Solve for x
    x = 13,185,171.75/5,536.40
  6. Step 6: Final answer
    x = 2,381.54

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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.