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Finding the Fourth Proportional to 3,707.56, 5,111.58 and 3,078.64

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Solution

The fourth proportional to 3,707.56, 5,111.58 and 3,078.64 is: 4,244.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.56 : 5,111.58 = 3,078.64 : x
  2. Step 2: Convert to fraction form
    3,707.56/5,111.58 = 3,078.64/x
  3. Step 3: Cross multiply
    3,707.56x = 5,111.58 × 3,078.64
  4. Step 4: Simplify right side
    3,707.56x = 15,736,714.65
  5. Step 5: Solve for x
    x = 15,736,714.65/3,707.56
  6. Step 6: Final answer
    x = 4,244.49

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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.