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Finding the Fourth Proportional to 5,724.06, 7,902.72 and 4,395.18

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Solution

The fourth proportional to 5,724.06, 7,902.72 and 4,395.18 is: 6,068.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.06 : 7,902.72 = 4,395.18 : x
  2. Step 2: Convert to fraction form
    5,724.06/7,902.72 = 4,395.18/x
  3. Step 3: Cross multiply
    5,724.06x = 7,902.72 × 4,395.18
  4. Step 4: Simplify right side
    5,724.06x = 34,733,876.89
  5. Step 5: Solve for x
    x = 34,733,876.89/5,724.06
  6. Step 6: Final answer
    x = 6,068.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.