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Finding the Fourth Proportional to 5,132.61, 7,083 and 2,774.75

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Solution

The fourth proportional to 5,132.61, 7,083 and 2,774.75 is: 3,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.61 : 7,083 = 2,774.75 : x
  2. Step 2: Convert to fraction form
    5,132.61/7,083 = 2,774.75/x
  3. Step 3: Cross multiply
    5,132.61x = 7,083 × 2,774.75
  4. Step 4: Simplify right side
    5,132.61x = 19,653,554.25
  5. Step 5: Solve for x
    x = 19,653,554.25/5,132.61
  6. Step 6: Final answer
    x = 3,829.15

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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.