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Finding the Fourth Proportional to 3,564.89, 5,343 and 2,525.20

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Solution

The fourth proportional to 3,564.89, 5,343 and 2,525.20 is: 3,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.89 : 5,343 = 2,525.20 : x
  2. Step 2: Convert to fraction form
    3,564.89/5,343 = 2,525.20/x
  3. Step 3: Cross multiply
    3,564.89x = 5,343 × 2,525.20
  4. Step 4: Simplify right side
    3,564.89x = 13,492,116.89
  5. Step 5: Solve for x
    x = 13,492,116.89/3,564.89
  6. Step 6: Final answer
    x = 3,784.72

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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.