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Finding the Fourth Proportional to 5,697.45, 8,547.66 and 1,748.61

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Solution

The fourth proportional to 5,697.45, 8,547.66 and 1,748.61 is: 2,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.45 : 8,547.66 = 1,748.61 : x
  2. Step 2: Convert to fraction form
    5,697.45/8,547.66 = 1,748.61/x
  3. Step 3: Cross multiply
    5,697.45x = 8,547.66 × 1,748.61
  4. Step 4: Simplify right side
    5,697.45x = 14,946,523.75
  5. Step 5: Solve for x
    x = 14,946,523.75/5,697.45
  6. Step 6: Final answer
    x = 2,623.37

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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.