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Finding the Fourth Proportional to 6,038.02, 9,057.77 and 1,878.25

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Solution

The fourth proportional to 6,038.02, 9,057.77 and 1,878.25 is: 2,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.02 : 9,057.77 = 1,878.25 : x
  2. Step 2: Convert to fraction form
    6,038.02/9,057.77 = 1,878.25/x
  3. Step 3: Cross multiply
    6,038.02x = 9,057.77 × 1,878.25
  4. Step 4: Simplify right side
    6,038.02x = 17,012,747.11
  5. Step 5: Solve for x
    x = 17,012,747.11/6,038.02
  6. Step 6: Final answer
    x = 2,817.60

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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.