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Finding the Fourth Proportional to 5,984.96, 8,977.50 and 1,602.32

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Solution

The fourth proportional to 5,984.96, 8,977.50 and 1,602.32 is: 2,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.96 : 8,977.50 = 1,602.32 : x
  2. Step 2: Convert to fraction form
    5,984.96/8,977.50 = 1,602.32/x
  3. Step 3: Cross multiply
    5,984.96x = 8,977.50 × 1,602.32
  4. Step 4: Simplify right side
    5,984.96x = 14,384,782.91
  5. Step 5: Solve for x
    x = 14,384,782.91/5,984.96
  6. Step 6: Final answer
    x = 2,403.49

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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.