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Finding the Fourth Proportional to 5,667.60, 8,498.04 and 1,717.65

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Solution

The fourth proportional to 5,667.60, 8,498.04 and 1,717.65 is: 2,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.60 : 8,498.04 = 1,717.65 : x
  2. Step 2: Convert to fraction form
    5,667.60/8,498.04 = 1,717.65/x
  3. Step 3: Cross multiply
    5,667.60x = 8,498.04 × 1,717.65
  4. Step 4: Simplify right side
    5,667.60x = 14,596,658.41
  5. Step 5: Solve for x
    x = 14,596,658.41/5,667.60
  6. Step 6: Final answer
    x = 2,575.46

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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.