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Finding the Fourth Proportional to 4,184.30, 5,780.22 and 3,810.68

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Solution

The fourth proportional to 4,184.30, 5,780.22 and 3,810.68 is: 5,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.30 : 5,780.22 = 3,810.68 : x
  2. Step 2: Convert to fraction form
    4,184.30/5,780.22 = 3,810.68/x
  3. Step 3: Cross multiply
    4,184.30x = 5,780.22 × 3,810.68
  4. Step 4: Simplify right side
    4,184.30x = 22,026,568.75
  5. Step 5: Solve for x
    x = 22,026,568.75/4,184.30
  6. Step 6: Final answer
    x = 5,264.10

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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.