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Finding the Fourth Proportional to 4,851.50, 6,688.29 and 4,102.46

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Solution

The fourth proportional to 4,851.50, 6,688.29 and 4,102.46 is: 5,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,851.50 : 6,688.29 = 4,102.46 : x
  2. Step 2: Convert to fraction form
    4,851.50/6,688.29 = 4,102.46/x
  3. Step 3: Cross multiply
    4,851.50x = 6,688.29 × 4,102.46
  4. Step 4: Simplify right side
    4,851.50x = 27,438,408.75
  5. Step 5: Solve for x
    x = 27,438,408.75/4,851.50
  6. Step 6: Final answer
    x = 5,655.65

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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.