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Finding the Fourth Proportional to 3,816.36, 5,718.06 and 3,038.76

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Solution

The fourth proportional to 3,816.36, 5,718.06 and 3,038.76 is: 4,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.36 : 5,718.06 = 3,038.76 : x
  2. Step 2: Convert to fraction form
    3,816.36/5,718.06 = 3,038.76/x
  3. Step 3: Cross multiply
    3,816.36x = 5,718.06 × 3,038.76
  4. Step 4: Simplify right side
    3,816.36x = 17,375,812.01
  5. Step 5: Solve for x
    x = 17,375,812.01/3,816.36
  6. Step 6: Final answer
    x = 4,552.98

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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.