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Finding the Fourth Proportional to 4,113.61, 6,173.15 and 3,840.23

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Solution

The fourth proportional to 4,113.61, 6,173.15 and 3,840.23 is: 5,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.61 : 6,173.15 = 3,840.23 : x
  2. Step 2: Convert to fraction form
    4,113.61/6,173.15 = 3,840.23/x
  3. Step 3: Cross multiply
    4,113.61x = 6,173.15 × 3,840.23
  4. Step 4: Simplify right side
    4,113.61x = 23,706,312.06
  5. Step 5: Solve for x
    x = 23,706,312.06/4,113.61
  6. Step 6: Final answer
    x = 5,762.90

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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.