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Finding the Fourth Proportional to 4,637.49, 6,954 and 2,170.23

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Solution

The fourth proportional to 4,637.49, 6,954 and 2,170.23 is: 3,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,637.49 : 6,954 = 2,170.23 : x
  2. Step 2: Convert to fraction form
    4,637.49/6,954 = 2,170.23/x
  3. Step 3: Cross multiply
    4,637.49x = 6,954 × 2,170.23
  4. Step 4: Simplify right side
    4,637.49x = 15,091,779.42
  5. Step 5: Solve for x
    x = 15,091,779.42/4,637.49
  6. Step 6: Final answer
    x = 3,254.30

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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.