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Finding the Fourth Proportional to 5,162.58, 7,124.31 and 2,804.58

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Solution

The fourth proportional to 5,162.58, 7,124.31 and 2,804.58 is: 3,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.58 : 7,124.31 = 2,804.58 : x
  2. Step 2: Convert to fraction form
    5,162.58/7,124.31 = 2,804.58/x
  3. Step 3: Cross multiply
    5,162.58x = 7,124.31 × 2,804.58
  4. Step 4: Simplify right side
    5,162.58x = 19,980,697.34
  5. Step 5: Solve for x
    x = 19,980,697.34/5,162.58
  6. Step 6: Final answer
    x = 3,870.29

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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.