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Finding the Fourth Proportional to 5,665.93, 7,816.47 and 3,775.67

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Solution

The fourth proportional to 5,665.93, 7,816.47 and 3,775.67 is: 5,208.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.93 : 7,816.47 = 3,775.67 : x
  2. Step 2: Convert to fraction form
    5,665.93/7,816.47 = 3,775.67/x
  3. Step 3: Cross multiply
    5,665.93x = 7,816.47 × 3,775.67
  4. Step 4: Simplify right side
    5,665.93x = 29,512,411.28
  5. Step 5: Solve for x
    x = 29,512,411.28/5,665.93
  6. Step 6: Final answer
    x = 5,208.75

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1.5x scale

Why These Related Problems?

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