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Finding the Fourth Proportional to 5,603.88, 7,735.46 and 4,405.74

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Solution

The fourth proportional to 5,603.88, 7,735.46 and 4,405.74 is: 6,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.88 : 7,735.46 = 4,405.74 : x
  2. Step 2: Convert to fraction form
    5,603.88/7,735.46 = 4,405.74/x
  3. Step 3: Cross multiply
    5,603.88x = 7,735.46 × 4,405.74
  4. Step 4: Simplify right side
    5,603.88x = 34,080,425.54
  5. Step 5: Solve for x
    x = 34,080,425.54/5,603.88
  6. Step 6: Final answer
    x = 6,081.58

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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.