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Finding the Fourth Proportional to 5,113.50, 7,050.06 and 3,784.92

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Solution

The fourth proportional to 5,113.50, 7,050.06 and 3,784.92 is: 5,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.50 : 7,050.06 = 3,784.92 : x
  2. Step 2: Convert to fraction form
    5,113.50/7,050.06 = 3,784.92/x
  3. Step 3: Cross multiply
    5,113.50x = 7,050.06 × 3,784.92
  4. Step 4: Simplify right side
    5,113.50x = 26,683,913.10
  5. Step 5: Solve for x
    x = 26,683,913.10/5,113.50
  6. Step 6: Final answer
    x = 5,218.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.