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Finding the Fourth Proportional to 3,047.52, 4,570.92 and 2,120.40

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Solution

The fourth proportional to 3,047.52, 4,570.92 and 2,120.40 is: 3,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.52 : 4,570.92 = 2,120.40 : x
  2. Step 2: Convert to fraction form
    3,047.52/4,570.92 = 2,120.40/x
  3. Step 3: Cross multiply
    3,047.52x = 4,570.92 × 2,120.40
  4. Step 4: Simplify right side
    3,047.52x = 9,692,178.77
  5. Step 5: Solve for x
    x = 9,692,178.77/3,047.52
  6. Step 6: Final answer
    x = 3,180.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.