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Finding the Fourth Proportional to 3,870.62, 5,813.40 and 3,316.58

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Solution

The fourth proportional to 3,870.62, 5,813.40 and 3,316.58 is: 4,981.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.62 : 5,813.40 = 3,316.58 : x
  2. Step 2: Convert to fraction form
    3,870.62/5,813.40 = 3,316.58/x
  3. Step 3: Cross multiply
    3,870.62x = 5,813.40 × 3,316.58
  4. Step 4: Simplify right side
    3,870.62x = 19,280,606.17
  5. Step 5: Solve for x
    x = 19,280,606.17/3,870.62
  6. Step 6: Final answer
    x = 4,981.27

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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.