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Finding the Fourth Proportional to 4,210.38, 6,322.64 and 4,042.77

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Solution

The fourth proportional to 4,210.38, 6,322.64 and 4,042.77 is: 6,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.38 : 6,322.64 = 4,042.77 : x
  2. Step 2: Convert to fraction form
    4,210.38/6,322.64 = 4,042.77/x
  3. Step 3: Cross multiply
    4,210.38x = 6,322.64 × 4,042.77
  4. Step 4: Simplify right side
    4,210.38x = 25,560,959.10
  5. Step 5: Solve for x
    x = 25,560,959.10/4,210.38
  6. Step 6: Final answer
    x = 6,070.94

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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.