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Finding the Fourth Proportional to 5,077.90, 7,603.48 and 4,085.43

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Solution

The fourth proportional to 5,077.90, 7,603.48 and 4,085.43 is: 6,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,077.90 : 7,603.48 = 4,085.43 : x
  2. Step 2: Convert to fraction form
    5,077.90/7,603.48 = 4,085.43/x
  3. Step 3: Cross multiply
    5,077.90x = 7,603.48 × 4,085.43
  4. Step 4: Simplify right side
    5,077.90x = 31,063,485.30
  5. Step 5: Solve for x
    x = 31,063,485.30/5,077.90
  6. Step 6: Final answer
    x = 6,117.39

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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.