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Finding the Fourth Proportional to 5,985.46, 8,978.26 and 1,602.86

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Solution

The fourth proportional to 5,985.46, 8,978.26 and 1,602.86 is: 2,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.46 : 8,978.26 = 1,602.86 : x
  2. Step 2: Convert to fraction form
    5,985.46/8,978.26 = 1,602.86/x
  3. Step 3: Cross multiply
    5,985.46x = 8,978.26 × 1,602.86
  4. Step 4: Simplify right side
    5,985.46x = 14,390,893.82
  5. Step 5: Solve for x
    x = 14,390,893.82/5,985.46
  6. Step 6: Final answer
    x = 2,404.31

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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.