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Finding the Fourth Proportional to 5,393.10, 8,089.64 and 1,695.65

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Solution

The fourth proportional to 5,393.10, 8,089.64 and 1,695.65 is: 2,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.10 : 8,089.64 = 1,695.65 : x
  2. Step 2: Convert to fraction form
    5,393.10/8,089.64 = 1,695.65/x
  3. Step 3: Cross multiply
    5,393.10x = 8,089.64 × 1,695.65
  4. Step 4: Simplify right side
    5,393.10x = 13,717,225.71
  5. Step 5: Solve for x
    x = 13,717,225.71/5,393.10
  6. Step 6: Final answer
    x = 2,543.48

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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.