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Finding the Fourth Proportional to 5,296.50, 7,941.90 and 1,785.35

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Solution

The fourth proportional to 5,296.50, 7,941.90 and 1,785.35 is: 2,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.50 : 7,941.90 = 1,785.35 : x
  2. Step 2: Convert to fraction form
    5,296.50/7,941.90 = 1,785.35/x
  3. Step 3: Cross multiply
    5,296.50x = 7,941.90 × 1,785.35
  4. Step 4: Simplify right side
    5,296.50x = 14,179,031.46
  5. Step 5: Solve for x
    x = 14,179,031.46/5,296.50
  6. Step 6: Final answer
    x = 2,677.06

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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.