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Finding the Fourth Proportional to 5,730.55, 8,596.63 and 5,415.41

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Solution

The fourth proportional to 5,730.55, 8,596.63 and 5,415.41 is: 8,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.55 : 8,596.63 = 5,415.41 : x
  2. Step 2: Convert to fraction form
    5,730.55/8,596.63 = 5,415.41/x
  3. Step 3: Cross multiply
    5,730.55x = 8,596.63 × 5,415.41
  4. Step 4: Simplify right side
    5,730.55x = 46,554,292.49
  5. Step 5: Solve for x
    x = 46,554,292.49/5,730.55
  6. Step 6: Final answer
    x = 8,123.88

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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.