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Finding the Fourth Proportional to 3,755.84, 5,630.08 and 1,566.08

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Solution

The fourth proportional to 3,755.84, 5,630.08 and 1,566.08 is: 2,347.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.84 : 5,630.08 = 1,566.08 : x
  2. Step 2: Convert to fraction form
    3,755.84/5,630.08 = 1,566.08/x
  3. Step 3: Cross multiply
    3,755.84x = 5,630.08 × 1,566.08
  4. Step 4: Simplify right side
    3,755.84x = 8,817,155.69
  5. Step 5: Solve for x
    x = 8,817,155.69/3,755.84
  6. Step 6: Final answer
    x = 2,347.59

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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.