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Finding the Fourth Proportional to 5,830.72, 8,747.52 and 5,185.60

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Solution

The fourth proportional to 5,830.72, 8,747.52 and 5,185.60 is: 7,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.72 : 8,747.52 = 5,185.60 : x
  2. Step 2: Convert to fraction form
    5,830.72/8,747.52 = 5,185.60/x
  3. Step 3: Cross multiply
    5,830.72x = 8,747.52 × 5,185.60
  4. Step 4: Simplify right side
    5,830.72x = 45,361,139.71
  5. Step 5: Solve for x
    x = 45,361,139.71/5,830.72
  6. Step 6: Final answer
    x = 7,779.68

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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.