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Finding the Fourth Proportional to 3,780.16, 5,216.80 and 2,124.16

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Solution

The fourth proportional to 3,780.16, 5,216.80 and 2,124.16 is: 2,931.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.16 : 5,216.80 = 2,124.16 : x
  2. Step 2: Convert to fraction form
    3,780.16/5,216.80 = 2,124.16/x
  3. Step 3: Cross multiply
    3,780.16x = 5,216.80 × 2,124.16
  4. Step 4: Simplify right side
    3,780.16x = 11,081,317.89
  5. Step 5: Solve for x
    x = 11,081,317.89/3,780.16
  6. Step 6: Final answer
    x = 2,931.44

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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.