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Finding the Fourth Proportional to 3,765.63, 5,646.67 and 1,392.94

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Solution

The fourth proportional to 3,765.63, 5,646.67 and 1,392.94 is: 2,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.63 : 5,646.67 = 1,392.94 : x
  2. Step 2: Convert to fraction form
    3,765.63/5,646.67 = 1,392.94/x
  3. Step 3: Cross multiply
    3,765.63x = 5,646.67 × 1,392.94
  4. Step 4: Simplify right side
    3,765.63x = 7,865,472.51
  5. Step 5: Solve for x
    x = 7,865,472.51/3,765.63
  6. Step 6: Final answer
    x = 2,088.75

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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.