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Finding the Fourth Proportional to 6,586.38, 9,089.40 and 3,602.16

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Solution

The fourth proportional to 6,586.38, 9,089.40 and 3,602.16 is: 4,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.38 : 9,089.40 = 3,602.16 : x
  2. Step 2: Convert to fraction form
    6,586.38/9,089.40 = 3,602.16/x
  3. Step 3: Cross multiply
    6,586.38x = 9,089.40 × 3,602.16
  4. Step 4: Simplify right side
    6,586.38x = 32,741,473.10
  5. Step 5: Solve for x
    x = 32,741,473.10/6,586.38
  6. Step 6: Final answer
    x = 4,971.09

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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.