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Finding the Fourth Proportional to 6,586.36, 9,088.96 and 3,602.17

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Solution

The fourth proportional to 6,586.36, 9,088.96 and 3,602.17 is: 4,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.36 : 9,088.96 = 3,602.17 : x
  2. Step 2: Convert to fraction form
    6,586.36/9,088.96 = 3,602.17/x
  3. Step 3: Cross multiply
    6,586.36x = 9,088.96 × 3,602.17
  4. Step 4: Simplify right side
    6,586.36x = 32,739,988.15
  5. Step 5: Solve for x
    x = 32,739,988.15/6,586.36
  6. Step 6: Final answer
    x = 4,970.88

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