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Finding the Fourth Proportional to 6,590.22, 9,089.38 and 4,232.58

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Solution

The fourth proportional to 6,590.22, 9,089.38 and 4,232.58 is: 5,837.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.22 : 9,089.38 = 4,232.58 : x
  2. Step 2: Convert to fraction form
    6,590.22/9,089.38 = 4,232.58/x
  3. Step 3: Cross multiply
    6,590.22x = 9,089.38 × 4,232.58
  4. Step 4: Simplify right side
    6,590.22x = 38,471,528.00
  5. Step 5: Solve for x
    x = 38,471,528.00/6,590.22
  6. Step 6: Final answer
    x = 5,837.67

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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.