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Finding the Fourth Proportional to 5,779.34, 7,968.25 and 4,823.62

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Solution

The fourth proportional to 5,779.34, 7,968.25 and 4,823.62 is: 6,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.34 : 7,968.25 = 4,823.62 : x
  2. Step 2: Convert to fraction form
    5,779.34/7,968.25 = 4,823.62/x
  3. Step 3: Cross multiply
    5,779.34x = 7,968.25 × 4,823.62
  4. Step 4: Simplify right side
    5,779.34x = 38,435,810.07
  5. Step 5: Solve for x
    x = 38,435,810.07/5,779.34
  6. Step 6: Final answer
    x = 6,650.55

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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.