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Finding the Fourth Proportional to 4,013.84, 6,023.28 and 1,705.16

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Solution

The fourth proportional to 4,013.84, 6,023.28 and 1,705.16 is: 2,558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.84 : 6,023.28 = 1,705.16 : x
  2. Step 2: Convert to fraction form
    4,013.84/6,023.28 = 1,705.16/x
  3. Step 3: Cross multiply
    4,013.84x = 6,023.28 × 1,705.16
  4. Step 4: Simplify right side
    4,013.84x = 10,270,656.12
  5. Step 5: Solve for x
    x = 10,270,656.12/4,013.84
  6. Step 6: Final answer
    x = 2,558.81

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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.