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Finding the Fourth Proportional to 5,870.70, 8,804.64 and 1,709.64

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Solution

The fourth proportional to 5,870.70, 8,804.64 and 1,709.64 is: 2,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.70 : 8,804.64 = 1,709.64 : x
  2. Step 2: Convert to fraction form
    5,870.70/8,804.64 = 1,709.64/x
  3. Step 3: Cross multiply
    5,870.70x = 8,804.64 × 1,709.64
  4. Step 4: Simplify right side
    5,870.70x = 15,052,764.73
  5. Step 5: Solve for x
    x = 15,052,764.73/5,870.70
  6. Step 6: Final answer
    x = 2,564.05

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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.