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Finding the Fourth Proportional to 3,412.95, 4,707.87 and 2,151.78

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Solution

The fourth proportional to 3,412.95, 4,707.87 and 2,151.78 is: 2,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.95 : 4,707.87 = 2,151.78 : x
  2. Step 2: Convert to fraction form
    3,412.95/4,707.87 = 2,151.78/x
  3. Step 3: Cross multiply
    3,412.95x = 4,707.87 × 2,151.78
  4. Step 4: Simplify right side
    3,412.95x = 10,130,300.51
  5. Step 5: Solve for x
    x = 10,130,300.51/3,412.95
  6. Step 6: Final answer
    x = 2,968.19

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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.