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Finding the Fourth Proportional to 5,089.85, 7,023.50 and 3,497.89

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Solution

The fourth proportional to 5,089.85, 7,023.50 and 3,497.89 is: 4,826.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.85 : 7,023.50 = 3,497.89 : x
  2. Step 2: Convert to fraction form
    5,089.85/7,023.50 = 3,497.89/x
  3. Step 3: Cross multiply
    5,089.85x = 7,023.50 × 3,497.89
  4. Step 4: Simplify right side
    5,089.85x = 24,567,430.42
  5. Step 5: Solve for x
    x = 24,567,430.42/5,089.85
  6. Step 6: Final answer
    x = 4,826.75

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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.