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Finding the Fourth Proportional to 6,586.32, 9,088.99 and 3,602.14

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Solution

The fourth proportional to 6,586.32, 9,088.99 and 3,602.14 is: 4,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.32 : 9,088.99 = 3,602.14 : x
  2. Step 2: Convert to fraction form
    6,586.32/9,088.99 = 3,602.14/x
  3. Step 3: Cross multiply
    6,586.32x = 9,088.99 × 3,602.14
  4. Step 4: Simplify right side
    6,586.32x = 32,739,805.43
  5. Step 5: Solve for x
    x = 32,739,805.43/6,586.32
  6. Step 6: Final answer
    x = 4,970.88

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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.