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Finding the Fourth Proportional to 4,051.70, 6,077.55 and 4,026.10

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Solution

The fourth proportional to 4,051.70, 6,077.55 and 4,026.10 is: 6,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.70 : 6,077.55 = 4,026.10 : x
  2. Step 2: Convert to fraction form
    4,051.70/6,077.55 = 4,026.10/x
  3. Step 3: Cross multiply
    4,051.70x = 6,077.55 × 4,026.10
  4. Step 4: Simplify right side
    4,051.70x = 24,468,824.06
  5. Step 5: Solve for x
    x = 24,468,824.06/4,051.70
  6. Step 6: Final answer
    x = 6,039.15

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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.