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Finding the Fourth Proportional to 4,089.67, 6,134.88 and 1,315.66

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Solution

The fourth proportional to 4,089.67, 6,134.88 and 1,315.66 is: 1,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.67 : 6,134.88 = 1,315.66 : x
  2. Step 2: Convert to fraction form
    4,089.67/6,134.88 = 1,315.66/x
  3. Step 3: Cross multiply
    4,089.67x = 6,134.88 × 1,315.66
  4. Step 4: Simplify right side
    4,089.67x = 8,071,416.22
  5. Step 5: Solve for x
    x = 8,071,416.22/4,089.67
  6. Step 6: Final answer
    x = 1,973.61

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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.