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Finding the Fourth Proportional to 5,126.42, 7,689.54 and 1,663.67

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Solution

The fourth proportional to 5,126.42, 7,689.54 and 1,663.67 is: 2,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.42 : 7,689.54 = 1,663.67 : x
  2. Step 2: Convert to fraction form
    5,126.42/7,689.54 = 1,663.67/x
  3. Step 3: Cross multiply
    5,126.42x = 7,689.54 × 1,663.67
  4. Step 4: Simplify right side
    5,126.42x = 12,792,857.01
  5. Step 5: Solve for x
    x = 12,792,857.01/5,126.42
  6. Step 6: Final answer
    x = 2,495.48

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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.