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Finding the Fourth Proportional to 4,875.78, 7,314.75 and 2,683.38

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Solution

The fourth proportional to 4,875.78, 7,314.75 and 2,683.38 is: 4,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.78 : 7,314.75 = 2,683.38 : x
  2. Step 2: Convert to fraction form
    4,875.78/7,314.75 = 2,683.38/x
  3. Step 3: Cross multiply
    4,875.78x = 7,314.75 × 2,683.38
  4. Step 4: Simplify right side
    4,875.78x = 19,628,253.86
  5. Step 5: Solve for x
    x = 19,628,253.86/4,875.78
  6. Step 6: Final answer
    x = 4,025.66

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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.