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Finding the Fourth Proportional to 4,134.58, 6,199.91 and 1,602.86

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Solution

The fourth proportional to 4,134.58, 6,199.91 and 1,602.86 is: 2,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.58 : 6,199.91 = 1,602.86 : x
  2. Step 2: Convert to fraction form
    4,134.58/6,199.91 = 1,602.86/x
  3. Step 3: Cross multiply
    4,134.58x = 6,199.91 × 1,602.86
  4. Step 4: Simplify right side
    4,134.58x = 9,937,587.66
  5. Step 5: Solve for x
    x = 9,937,587.66/4,134.58
  6. Step 6: Final answer
    x = 2,403.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.