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Finding the Fourth Proportional to 3,570.51, 4,927.22 and 1,977.07

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Solution

The fourth proportional to 3,570.51, 4,927.22 and 1,977.07 is: 2,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.51 : 4,927.22 = 1,977.07 : x
  2. Step 2: Convert to fraction form
    3,570.51/4,927.22 = 1,977.07/x
  3. Step 3: Cross multiply
    3,570.51x = 4,927.22 × 1,977.07
  4. Step 4: Simplify right side
    3,570.51x = 9,741,458.85
  5. Step 5: Solve for x
    x = 9,741,458.85/3,570.51
  6. Step 6: Final answer
    x = 2,728.31

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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.