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Finding the Fourth Proportional to 5,168.16, 7,752.06 and 1,705.38

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Solution

The fourth proportional to 5,168.16, 7,752.06 and 1,705.38 is: 2,558.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.16 : 7,752.06 = 1,705.38 : x
  2. Step 2: Convert to fraction form
    5,168.16/7,752.06 = 1,705.38/x
  3. Step 3: Cross multiply
    5,168.16x = 7,752.06 × 1,705.38
  4. Step 4: Simplify right side
    5,168.16x = 13,220,208.08
  5. Step 5: Solve for x
    x = 13,220,208.08/5,168.16
  6. Step 6: Final answer
    x = 2,558.01

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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.