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Finding the Fourth Proportional to 5,888.76, 8,118.06 and 4,209.72

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Solution

The fourth proportional to 5,888.76, 8,118.06 and 4,209.72 is: 5,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.76 : 8,118.06 = 4,209.72 : x
  2. Step 2: Convert to fraction form
    5,888.76/8,118.06 = 4,209.72/x
  3. Step 3: Cross multiply
    5,888.76x = 8,118.06 × 4,209.72
  4. Step 4: Simplify right side
    5,888.76x = 34,174,759.54
  5. Step 5: Solve for x
    x = 34,174,759.54/5,888.76
  6. Step 6: Final answer
    x = 5,803.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.