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Finding the Fourth Proportional to 5,698.58, 8,548.46 and 1,538.61

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Solution

The fourth proportional to 5,698.58, 8,548.46 and 1,538.61 is: 2,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.58 : 8,548.46 = 1,538.61 : x
  2. Step 2: Convert to fraction form
    5,698.58/8,548.46 = 1,538.61/x
  3. Step 3: Cross multiply
    5,698.58x = 8,548.46 × 1,538.61
  4. Step 4: Simplify right side
    5,698.58x = 13,152,738.35
  5. Step 5: Solve for x
    x = 13,152,738.35/5,698.58
  6. Step 6: Final answer
    x = 2,308.07

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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.