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Finding the Fourth Proportional to 5,102.51, 7,654.18 and 1,405.03

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Solution

The fourth proportional to 5,102.51, 7,654.18 and 1,405.03 is: 2,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.51 : 7,654.18 = 1,405.03 : x
  2. Step 2: Convert to fraction form
    5,102.51/7,654.18 = 1,405.03/x
  3. Step 3: Cross multiply
    5,102.51x = 7,654.18 × 1,405.03
  4. Step 4: Simplify right side
    5,102.51x = 10,754,352.53
  5. Step 5: Solve for x
    x = 10,754,352.53/5,102.51
  6. Step 6: Final answer
    x = 2,107.66

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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.