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Finding the Fourth Proportional to 5,134.46, 7,701.98 and 1,624.56

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Solution

The fourth proportional to 5,134.46, 7,701.98 and 1,624.56 is: 2,436.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.46 : 7,701.98 = 1,624.56 : x
  2. Step 2: Convert to fraction form
    5,134.46/7,701.98 = 1,624.56/x
  3. Step 3: Cross multiply
    5,134.46x = 7,701.98 × 1,624.56
  4. Step 4: Simplify right side
    5,134.46x = 12,512,320.51
  5. Step 5: Solve for x
    x = 12,512,320.51/5,134.46
  6. Step 6: Final answer
    x = 2,436.93

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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.