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Finding the Fourth Proportional to 6,586.57, 9,089.60 and 3,602.60

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Solution

The fourth proportional to 6,586.57, 9,089.60 and 3,602.60 is: 4,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.57 : 9,089.60 = 3,602.60 : x
  2. Step 2: Convert to fraction form
    6,586.57/9,089.60 = 3,602.60/x
  3. Step 3: Cross multiply
    6,586.57x = 9,089.60 × 3,602.60
  4. Step 4: Simplify right side
    6,586.57x = 32,746,129.50
  5. Step 5: Solve for x
    x = 32,746,129.50/6,586.57
  6. Step 6: Final answer
    x = 4,971.65

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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.