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Finding the Fourth Proportional to 5,666.63, 7,820.65 and 3,429.29

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Solution

The fourth proportional to 5,666.63, 7,820.65 and 3,429.29 is: 4,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.63 : 7,820.65 = 3,429.29 : x
  2. Step 2: Convert to fraction form
    5,666.63/7,820.65 = 3,429.29/x
  3. Step 3: Cross multiply
    5,666.63x = 7,820.65 × 3,429.29
  4. Step 4: Simplify right side
    5,666.63x = 26,819,256.69
  5. Step 5: Solve for x
    x = 26,819,256.69/5,666.63
  6. Step 6: Final answer
    x = 4,732.84

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