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Finding the Fourth Proportional to 3,707.36, 5,111.52 and 3,203.36

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Solution

The fourth proportional to 3,707.36, 5,111.52 and 3,203.36 is: 4,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.36 : 5,111.52 = 3,203.36 : x
  2. Step 2: Convert to fraction form
    3,707.36/5,111.52 = 3,203.36/x
  3. Step 3: Cross multiply
    3,707.36x = 5,111.52 × 3,203.36
  4. Step 4: Simplify right side
    3,707.36x = 16,374,038.71
  5. Step 5: Solve for x
    x = 16,374,038.71/3,707.36
  6. Step 6: Final answer
    x = 4,416.63

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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.