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Finding the Fourth Proportional to 5,730.90, 8,596.35 and 1,570.92

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Solution

The fourth proportional to 5,730.90, 8,596.35 and 1,570.92 is: 2,356.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.90 : 8,596.35 = 1,570.92 : x
  2. Step 2: Convert to fraction form
    5,730.90/8,596.35 = 1,570.92/x
  3. Step 3: Cross multiply
    5,730.90x = 8,596.35 × 1,570.92
  4. Step 4: Simplify right side
    5,730.90x = 13,504,178.14
  5. Step 5: Solve for x
    x = 13,504,178.14/5,730.90
  6. Step 6: Final answer
    x = 2,356.38

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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.