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Finding the Fourth Proportional to 6,586.56, 9,089.68 and 3,602.58

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Solution

The fourth proportional to 6,586.56, 9,089.68 and 3,602.58 is: 4,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.56 : 9,089.68 = 3,602.58 : x
  2. Step 2: Convert to fraction form
    6,586.56/9,089.68 = 3,602.58/x
  3. Step 3: Cross multiply
    6,586.56x = 9,089.68 × 3,602.58
  4. Step 4: Simplify right side
    6,586.56x = 32,746,299.37
  5. Step 5: Solve for x
    x = 32,746,299.37/6,586.56
  6. Step 6: Final answer
    x = 4,971.68

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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.