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Finding the Fourth Proportional to 5,586.61, 8,376.73 and 2,297

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Solution

The fourth proportional to 5,586.61, 8,376.73 and 2,297 is: 3,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.61 : 8,376.73 = 2,297 : x
  2. Step 2: Convert to fraction form
    5,586.61/8,376.73 = 2,297/x
  3. Step 3: Cross multiply
    5,586.61x = 8,376.73 × 2,297
  4. Step 4: Simplify right side
    5,586.61x = 19,241,348.81
  5. Step 5: Solve for x
    x = 19,241,348.81/5,586.61
  6. Step 6: Final answer
    x = 3,444.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.