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Finding the Fourth Proportional to 4,210.80, 5,813.28 and 2,919.60

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Solution

The fourth proportional to 4,210.80, 5,813.28 and 2,919.60 is: 4,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.80 : 5,813.28 = 2,919.60 : x
  2. Step 2: Convert to fraction form
    4,210.80/5,813.28 = 2,919.60/x
  3. Step 3: Cross multiply
    4,210.80x = 5,813.28 × 2,919.60
  4. Step 4: Simplify right side
    4,210.80x = 16,972,452.29
  5. Step 5: Solve for x
    x = 16,972,452.29/4,210.80
  6. Step 6: Final answer
    x = 4,030.70

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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.