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Finding the Fourth Proportional to 5,256.16, 7,884 and 1,307.33

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Solution

The fourth proportional to 5,256.16, 7,884 and 1,307.33 is: 1,960.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.16 : 7,884 = 1,307.33 : x
  2. Step 2: Convert to fraction form
    5,256.16/7,884 = 1,307.33/x
  3. Step 3: Cross multiply
    5,256.16x = 7,884 × 1,307.33
  4. Step 4: Simplify right side
    5,256.16x = 10,306,989.72
  5. Step 5: Solve for x
    x = 10,306,989.72/5,256.16
  6. Step 6: Final answer
    x = 1,960.94

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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.