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Finding the Fourth Proportional to 4,209.58, 5,806.07 and 3,090.16

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Solution

The fourth proportional to 4,209.58, 5,806.07 and 3,090.16 is: 4,262.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.58 : 5,806.07 = 3,090.16 : x
  2. Step 2: Convert to fraction form
    4,209.58/5,806.07 = 3,090.16/x
  3. Step 3: Cross multiply
    4,209.58x = 5,806.07 × 3,090.16
  4. Step 4: Simplify right side
    4,209.58x = 17,941,656.24
  5. Step 5: Solve for x
    x = 17,941,656.24/4,209.58
  6. Step 6: Final answer
    x = 4,262.11

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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.