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Finding the Fourth Proportional to 3,476.87, 5,206.81 and 2,888.21

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Solution

The fourth proportional to 3,476.87, 5,206.81 and 2,888.21 is: 4,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.87 : 5,206.81 = 2,888.21 : x
  2. Step 2: Convert to fraction form
    3,476.87/5,206.81 = 2,888.21/x
  3. Step 3: Cross multiply
    3,476.87x = 5,206.81 × 2,888.21
  4. Step 4: Simplify right side
    3,476.87x = 15,038,334.51
  5. Step 5: Solve for x
    x = 15,038,334.51/3,476.87
  6. Step 6: Final answer
    x = 4,325.25

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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.