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Finding the Fourth Proportional to 4,702.58, 7,054.62 and 1,891.41

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Solution

The fourth proportional to 4,702.58, 7,054.62 and 1,891.41 is: 2,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.58 : 7,054.62 = 1,891.41 : x
  2. Step 2: Convert to fraction form
    4,702.58/7,054.62 = 1,891.41/x
  3. Step 3: Cross multiply
    4,702.58x = 7,054.62 × 1,891.41
  4. Step 4: Simplify right side
    4,702.58x = 13,343,178.81
  5. Step 5: Solve for x
    x = 13,343,178.81/4,702.58
  6. Step 6: Final answer
    x = 2,837.42

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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.