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Finding the Fourth Proportional to 4,204.03, 5,802.84 and 2,525.71

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Solution

The fourth proportional to 4,204.03, 5,802.84 and 2,525.71 is: 3,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.03 : 5,802.84 = 2,525.71 : x
  2. Step 2: Convert to fraction form
    4,204.03/5,802.84 = 2,525.71/x
  3. Step 3: Cross multiply
    4,204.03x = 5,802.84 × 2,525.71
  4. Step 4: Simplify right side
    4,204.03x = 14,656,291.02
  5. Step 5: Solve for x
    x = 14,656,291.02/4,204.03
  6. Step 6: Final answer
    x = 3,486.25

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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.