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Finding the Fourth Proportional to 3,875.49, 5,812.20 and 1,683.72

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Solution

The fourth proportional to 3,875.49, 5,812.20 and 1,683.72 is: 2,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.49 : 5,812.20 = 1,683.72 : x
  2. Step 2: Convert to fraction form
    3,875.49/5,812.20 = 1,683.72/x
  3. Step 3: Cross multiply
    3,875.49x = 5,812.20 × 1,683.72
  4. Step 4: Simplify right side
    3,875.49x = 9,786,117.38
  5. Step 5: Solve for x
    x = 9,786,117.38/3,875.49
  6. Step 6: Final answer
    x = 2,525.13

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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.