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Finding the Fourth Proportional to 4,102.47, 6,153.72 and 1,505.41

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Solution

The fourth proportional to 4,102.47, 6,153.72 and 1,505.41 is: 2,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.47 : 6,153.72 = 1,505.41 : x
  2. Step 2: Convert to fraction form
    4,102.47/6,153.72 = 1,505.41/x
  3. Step 3: Cross multiply
    4,102.47x = 6,153.72 × 1,505.41
  4. Step 4: Simplify right side
    4,102.47x = 9,263,871.63
  5. Step 5: Solve for x
    x = 9,263,871.63/4,102.47
  6. Step 6: Final answer
    x = 2,258.12

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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.