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Finding the Fourth Proportional to 4,522.69, 6,779.76 and 1,599.40

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Solution

The fourth proportional to 4,522.69, 6,779.76 and 1,599.40 is: 2,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.69 : 6,779.76 = 1,599.40 : x
  2. Step 2: Convert to fraction form
    4,522.69/6,779.76 = 1,599.40/x
  3. Step 3: Cross multiply
    4,522.69x = 6,779.76 × 1,599.40
  4. Step 4: Simplify right side
    4,522.69x = 10,843,548.14
  5. Step 5: Solve for x
    x = 10,843,548.14/4,522.69
  6. Step 6: Final answer
    x = 2,397.59

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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.