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Finding the Fourth Proportional to 2,976.04, 4,490.71 and 2,856.16

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Solution

The fourth proportional to 2,976.04, 4,490.71 and 2,856.16 is: 4,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.04 : 4,490.71 = 2,856.16 : x
  2. Step 2: Convert to fraction form
    2,976.04/4,490.71 = 2,856.16/x
  3. Step 3: Cross multiply
    2,976.04x = 4,490.71 × 2,856.16
  4. Step 4: Simplify right side
    2,976.04x = 12,826,186.27
  5. Step 5: Solve for x
    x = 12,826,186.27/2,976.04
  6. Step 6: Final answer
    x = 4,309.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.