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Finding the Fourth Proportional to 4,775.36, 7,163.20 and 1,312.64

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Solution

The fourth proportional to 4,775.36, 7,163.20 and 1,312.64 is: 1,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.36 : 7,163.20 = 1,312.64 : x
  2. Step 2: Convert to fraction form
    4,775.36/7,163.20 = 1,312.64/x
  3. Step 3: Cross multiply
    4,775.36x = 7,163.20 × 1,312.64
  4. Step 4: Simplify right side
    4,775.36x = 9,402,702.85
  5. Step 5: Solve for x
    x = 9,402,702.85/4,775.36
  6. Step 6: Final answer
    x = 1,969.00

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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.