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Finding the Fourth Proportional to 5,622.84, 7,758.21 and 3,263.58

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Solution

The fourth proportional to 5,622.84, 7,758.21 and 3,263.58 is: 4,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,622.84 : 7,758.21 = 3,263.58 : x
  2. Step 2: Convert to fraction form
    5,622.84/7,758.21 = 3,263.58/x
  3. Step 3: Cross multiply
    5,622.84x = 7,758.21 × 3,263.58
  4. Step 4: Simplify right side
    5,622.84x = 25,319,538.99
  5. Step 5: Solve for x
    x = 25,319,538.99/5,622.84
  6. Step 6: Final answer
    x = 4,502.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.