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Finding the Fourth Proportional to 4,153.70, 5,727.71 and 3,089.76

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Solution

The fourth proportional to 4,153.70, 5,727.71 and 3,089.76 is: 4,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.70 : 5,727.71 = 3,089.76 : x
  2. Step 2: Convert to fraction form
    4,153.70/5,727.71 = 3,089.76/x
  3. Step 3: Cross multiply
    4,153.70x = 5,727.71 × 3,089.76
  4. Step 4: Simplify right side
    4,153.70x = 17,697,267.71
  5. Step 5: Solve for x
    x = 17,697,267.71/4,153.70
  6. Step 6: Final answer
    x = 4,260.61

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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.