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Finding the Fourth Proportional to 5,736.48, 7,916.32 and 3,218.72

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Solution

The fourth proportional to 5,736.48, 7,916.32 and 3,218.72 is: 4,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.48 : 7,916.32 = 3,218.72 : x
  2. Step 2: Convert to fraction form
    5,736.48/7,916.32 = 3,218.72/x
  3. Step 3: Cross multiply
    5,736.48x = 7,916.32 × 3,218.72
  4. Step 4: Simplify right side
    5,736.48x = 25,480,417.51
  5. Step 5: Solve for x
    x = 25,480,417.51/5,736.48
  6. Step 6: Final answer
    x = 4,441.82

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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.