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Finding the Fourth Proportional to 5,307.21, 7,955.28 and 1,796.00

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Solution

The fourth proportional to 5,307.21, 7,955.28 and 1,796.00 is: 2,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.21 : 7,955.28 = 1,796.00 : x
  2. Step 2: Convert to fraction form
    5,307.21/7,955.28 = 1,796.00/x
  3. Step 3: Cross multiply
    5,307.21x = 7,955.28 × 1,796.00
  4. Step 4: Simplify right side
    5,307.21x = 14,287,643.10
  5. Step 5: Solve for x
    x = 14,287,643.10/5,307.21
  6. Step 6: Final answer
    x = 2,692.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.