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Finding the Fourth Proportional to 5,735.07, 8,602.85 and 1,574.98

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Solution

The fourth proportional to 5,735.07, 8,602.85 and 1,574.98 is: 2,362.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.07 : 8,602.85 = 1,574.98 : x
  2. Step 2: Convert to fraction form
    5,735.07/8,602.85 = 1,574.98/x
  3. Step 3: Cross multiply
    5,735.07x = 8,602.85 × 1,574.98
  4. Step 4: Simplify right side
    5,735.07x = 13,549,299.12
  5. Step 5: Solve for x
    x = 13,549,299.12/5,735.07
  6. Step 6: Final answer
    x = 2,362.53

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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.