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Finding the Fourth Proportional to 5,482.88, 8,224.28 and 2,365.10

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Solution

The fourth proportional to 5,482.88, 8,224.28 and 2,365.10 is: 3,547.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.88 : 8,224.28 = 2,365.10 : x
  2. Step 2: Convert to fraction form
    5,482.88/8,224.28 = 2,365.10/x
  3. Step 3: Cross multiply
    5,482.88x = 8,224.28 × 2,365.10
  4. Step 4: Simplify right side
    5,482.88x = 19,451,244.63
  5. Step 5: Solve for x
    x = 19,451,244.63/5,482.88
  6. Step 6: Final answer
    x = 3,547.63

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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.