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Finding the Fourth Proportional to 6,089.48, 8,402.64 and 3,436.72

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Solution

The fourth proportional to 6,089.48, 8,402.64 and 3,436.72 is: 4,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.48 : 8,402.64 = 3,436.72 : x
  2. Step 2: Convert to fraction form
    6,089.48/8,402.64 = 3,436.72/x
  3. Step 3: Cross multiply
    6,089.48x = 8,402.64 × 3,436.72
  4. Step 4: Simplify right side
    6,089.48x = 28,877,520.94
  5. Step 5: Solve for x
    x = 28,877,520.94/6,089.48
  6. Step 6: Final answer
    x = 4,742.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.