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Finding the Fourth Proportional to 5,158.34, 7,737.93 and 1,648.82

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Solution

The fourth proportional to 5,158.34, 7,737.93 and 1,648.82 is: 2,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.34 : 7,737.93 = 1,648.82 : x
  2. Step 2: Convert to fraction form
    5,158.34/7,737.93 = 1,648.82/x
  3. Step 3: Cross multiply
    5,158.34x = 7,737.93 × 1,648.82
  4. Step 4: Simplify right side
    5,158.34x = 12,758,453.74
  5. Step 5: Solve for x
    x = 12,758,453.74/5,158.34
  6. Step 6: Final answer
    x = 2,473.36

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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.