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Finding the Fourth Proportional to 5,085.85, 7,630.15 and 4,597.88

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Solution

The fourth proportional to 5,085.85, 7,630.15 and 4,597.88 is: 6,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.85 : 7,630.15 = 4,597.88 : x
  2. Step 2: Convert to fraction form
    5,085.85/7,630.15 = 4,597.88/x
  3. Step 3: Cross multiply
    5,085.85x = 7,630.15 × 4,597.88
  4. Step 4: Simplify right side
    5,085.85x = 35,082,464.44
  5. Step 5: Solve for x
    x = 35,082,464.44/5,085.85
  6. Step 6: Final answer
    x = 6,898.06

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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.