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Finding the Fourth Proportional to 5,063.82, 6,985.41 and 4,120.67

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Solution

The fourth proportional to 5,063.82, 6,985.41 and 4,120.67 is: 5,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,063.82 : 6,985.41 = 4,120.67 : x
  2. Step 2: Convert to fraction form
    5,063.82/6,985.41 = 4,120.67/x
  3. Step 3: Cross multiply
    5,063.82x = 6,985.41 × 4,120.67
  4. Step 4: Simplify right side
    5,063.82x = 28,784,534.50
  5. Step 5: Solve for x
    x = 28,784,534.50/5,063.82
  6. Step 6: Final answer
    x = 5,684.35

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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.