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Finding the Fourth Proportional to 5,719.51, 7,893.94 and 4,152.16

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Solution

The fourth proportional to 5,719.51, 7,893.94 and 4,152.16 is: 5,730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.51 : 7,893.94 = 4,152.16 : x
  2. Step 2: Convert to fraction form
    5,719.51/7,893.94 = 4,152.16/x
  3. Step 3: Cross multiply
    5,719.51x = 7,893.94 × 4,152.16
  4. Step 4: Simplify right side
    5,719.51x = 32,776,852.06
  5. Step 5: Solve for x
    x = 32,776,852.06/5,719.51
  6. Step 6: Final answer
    x = 5,730.71

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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.