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Finding the Fourth Proportional to 3,870.18, 5,339.93 and 3,024.54

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Solution

The fourth proportional to 3,870.18, 5,339.93 and 3,024.54 is: 4,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.18 : 5,339.93 = 3,024.54 : x
  2. Step 2: Convert to fraction form
    3,870.18/5,339.93 = 3,024.54/x
  3. Step 3: Cross multiply
    3,870.18x = 5,339.93 × 3,024.54
  4. Step 4: Simplify right side
    3,870.18x = 16,150,816.76
  5. Step 5: Solve for x
    x = 16,150,816.76/3,870.18
  6. Step 6: Final answer
    x = 4,173.14

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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.