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Finding the Fourth Proportional to 6,598.02, 9,102.70 and 4,241.46

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Solution

The fourth proportional to 6,598.02, 9,102.70 and 4,241.46 is: 5,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,598.02 : 9,102.70 = 4,241.46 : x
  2. Step 2: Convert to fraction form
    6,598.02/9,102.70 = 4,241.46/x
  3. Step 3: Cross multiply
    6,598.02x = 9,102.70 × 4,241.46
  4. Step 4: Simplify right side
    6,598.02x = 38,608,737.94
  5. Step 5: Solve for x
    x = 38,608,737.94/6,598.02
  6. Step 6: Final answer
    x = 5,851.56

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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.