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Finding the Fourth Proportional to 3,864, 5,746.30 and 3,740.99

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Solution

The fourth proportional to 3,864, 5,746.30 and 3,740.99 is: 5,563.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 5,746.30 = 3,740.99 : x
  2. Step 2: Convert to fraction form
    3,864/5,746.30 = 3,740.99/x
  3. Step 3: Cross multiply
    3,864x = 5,746.30 × 3,740.99
  4. Step 4: Simplify right side
    3,864x = 21,496,803.40
  5. Step 5: Solve for x
    x = 21,496,803.40/3,864
  6. Step 6: Final answer
    x = 5,563.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.