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Finding the Fourth Proportional to 4,782.36, 6,581.68 and 4,046

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Solution

The fourth proportional to 4,782.36, 6,581.68 and 4,046 is: 5,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.36 : 6,581.68 = 4,046 : x
  2. Step 2: Convert to fraction form
    4,782.36/6,581.68 = 4,046/x
  3. Step 3: Cross multiply
    4,782.36x = 6,581.68 × 4,046
  4. Step 4: Simplify right side
    4,782.36x = 26,629,477.28
  5. Step 5: Solve for x
    x = 26,629,477.28/4,782.36
  6. Step 6: Final answer
    x = 5,568.27

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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.