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Finding the Fourth Proportional to 5,217.58, 7,779.82 and 4,638.02

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Solution

The fourth proportional to 5,217.58, 7,779.82 and 4,638.02 is: 6,915.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.58 : 7,779.82 = 4,638.02 : x
  2. Step 2: Convert to fraction form
    5,217.58/7,779.82 = 4,638.02/x
  3. Step 3: Cross multiply
    5,217.58x = 7,779.82 × 4,638.02
  4. Step 4: Simplify right side
    5,217.58x = 36,082,960.76
  5. Step 5: Solve for x
    x = 36,082,960.76/5,217.58
  6. Step 6: Final answer
    x = 6,915.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.