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Finding the Fourth Proportional to 4,492.65, 6,743.76 and 3,975.93

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Solution

The fourth proportional to 4,492.65, 6,743.76 and 3,975.93 is: 5,968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.65 : 6,743.76 = 3,975.93 : x
  2. Step 2: Convert to fraction form
    4,492.65/6,743.76 = 3,975.93/x
  3. Step 3: Cross multiply
    4,492.65x = 6,743.76 × 3,975.93
  4. Step 4: Simplify right side
    4,492.65x = 26,812,734.56
  5. Step 5: Solve for x
    x = 26,812,734.56/4,492.65
  6. Step 6: Final answer
    x = 5,968.14

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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.