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Finding the Fourth Proportional to 6,038.45, 9,058.44 and 2,142.89

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Solution

The fourth proportional to 6,038.45, 9,058.44 and 2,142.89 is: 3,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.45 : 9,058.44 = 2,142.89 : x
  2. Step 2: Convert to fraction form
    6,038.45/9,058.44 = 2,142.89/x
  3. Step 3: Cross multiply
    6,038.45x = 9,058.44 × 2,142.89
  4. Step 4: Simplify right side
    6,038.45x = 19,411,195.20
  5. Step 5: Solve for x
    x = 19,411,195.20/6,038.45
  6. Step 6: Final answer
    x = 3,214.60

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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.