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Finding the Fourth Proportional to 4,076.52, 6,114.70 and 1,154.98

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Solution

The fourth proportional to 4,076.52, 6,114.70 and 1,154.98 is: 1,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,076.52 : 6,114.70 = 1,154.98 : x
  2. Step 2: Convert to fraction form
    4,076.52/6,114.70 = 1,154.98/x
  3. Step 3: Cross multiply
    4,076.52x = 6,114.70 × 1,154.98
  4. Step 4: Simplify right side
    4,076.52x = 7,062,356.21
  5. Step 5: Solve for x
    x = 7,062,356.21/4,076.52
  6. Step 6: Final answer
    x = 1,732.45

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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.