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Finding the Fourth Proportional to 5,734, 8,602.45 and 1,630

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Solution

The fourth proportional to 5,734, 8,602.45 and 1,630 is: 2,445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734 : 8,602.45 = 1,630 : x
  2. Step 2: Convert to fraction form
    5,734/8,602.45 = 1,630/x
  3. Step 3: Cross multiply
    5,734x = 8,602.45 × 1,630
  4. Step 4: Simplify right side
    5,734x = 14,021,985.35
  5. Step 5: Solve for x
    x = 14,021,985.35/5,734
  6. Step 6: Final answer
    x = 2,445.41

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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.