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Finding the Fourth Proportional to 3,412.47, 4,707.75 and 1,956.48

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Solution

The fourth proportional to 3,412.47, 4,707.75 and 1,956.48 is: 2,699.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.47 : 4,707.75 = 1,956.48 : x
  2. Step 2: Convert to fraction form
    3,412.47/4,707.75 = 1,956.48/x
  3. Step 3: Cross multiply
    3,412.47x = 4,707.75 × 1,956.48
  4. Step 4: Simplify right side
    3,412.47x = 9,210,618.72
  5. Step 5: Solve for x
    x = 9,210,618.72/3,412.47
  6. Step 6: Final answer
    x = 2,699.11

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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.