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Finding the Fourth Proportional to 4,570.08, 6,851.01 and 1,606.39

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Solution

The fourth proportional to 4,570.08, 6,851.01 and 1,606.39 is: 2,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.08 : 6,851.01 = 1,606.39 : x
  2. Step 2: Convert to fraction form
    4,570.08/6,851.01 = 1,606.39/x
  3. Step 3: Cross multiply
    4,570.08x = 6,851.01 × 1,606.39
  4. Step 4: Simplify right side
    4,570.08x = 11,005,393.95
  5. Step 5: Solve for x
    x = 11,005,393.95/4,570.08
  6. Step 6: Final answer
    x = 2,408.14

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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.