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Finding the Fourth Proportional to 5,792.51, 7,994.16 and 4,846.64

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Solution

The fourth proportional to 5,792.51, 7,994.16 and 4,846.64 is: 6,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.51 : 7,994.16 = 4,846.64 : x
  2. Step 2: Convert to fraction form
    5,792.51/7,994.16 = 4,846.64/x
  3. Step 3: Cross multiply
    5,792.51x = 7,994.16 × 4,846.64
  4. Step 4: Simplify right side
    5,792.51x = 38,744,775.65
  5. Step 5: Solve for x
    x = 38,744,775.65/5,792.51
  6. Step 6: Final answer
    x = 6,688.77

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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.