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Finding the Fourth Proportional to 6,586.41, 9,089.46 and 3,602.46

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Solution

The fourth proportional to 6,586.41, 9,089.46 and 3,602.46 is: 4,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.41 : 9,089.46 = 3,602.46 : x
  2. Step 2: Convert to fraction form
    6,586.41/9,089.46 = 3,602.46/x
  3. Step 3: Cross multiply
    6,586.41x = 9,089.46 × 3,602.46
  4. Step 4: Simplify right side
    6,586.41x = 32,744,416.07
  5. Step 5: Solve for x
    x = 32,744,416.07/6,586.41
  6. Step 6: Final answer
    x = 4,971.51

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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.