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Finding the Fourth Proportional to 5,666.30, 8,498.24 and 1,768.58

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Solution

The fourth proportional to 5,666.30, 8,498.24 and 1,768.58 is: 2,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.30 : 8,498.24 = 1,768.58 : x
  2. Step 2: Convert to fraction form
    5,666.30/8,498.24 = 1,768.58/x
  3. Step 3: Cross multiply
    5,666.30x = 8,498.24 × 1,768.58
  4. Step 4: Simplify right side
    5,666.30x = 15,029,808.46
  5. Step 5: Solve for x
    x = 15,029,808.46/5,666.30
  6. Step 6: Final answer
    x = 2,652.49

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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.