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Finding the Fourth Proportional to 4,376.34, 6,564.51 and 2,182.86

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Solution

The fourth proportional to 4,376.34, 6,564.51 and 2,182.86 is: 3,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.34 : 6,564.51 = 2,182.86 : x
  2. Step 2: Convert to fraction form
    4,376.34/6,564.51 = 2,182.86/x
  3. Step 3: Cross multiply
    4,376.34x = 6,564.51 × 2,182.86
  4. Step 4: Simplify right side
    4,376.34x = 14,329,406.30
  5. Step 5: Solve for x
    x = 14,329,406.30/4,376.34
  6. Step 6: Final answer
    x = 3,274.29

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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.