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Finding the Fourth Proportional to 4,702.44, 7,054.59 and 1,415.37

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Solution

The fourth proportional to 4,702.44, 7,054.59 and 1,415.37 is: 2,123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.44 : 7,054.59 = 1,415.37 : x
  2. Step 2: Convert to fraction form
    4,702.44/7,054.59 = 1,415.37/x
  3. Step 3: Cross multiply
    4,702.44x = 7,054.59 × 1,415.37
  4. Step 4: Simplify right side
    4,702.44x = 9,984,855.05
  5. Step 5: Solve for x
    x = 9,984,855.05/4,702.44
  6. Step 6: Final answer
    x = 2,123.33

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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.