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Finding the Fourth Proportional to 3,827.15, 5,740.54 and 1,053.74

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Solution

The fourth proportional to 3,827.15, 5,740.54 and 1,053.74 is: 1,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.15 : 5,740.54 = 1,053.74 : x
  2. Step 2: Convert to fraction form
    3,827.15/5,740.54 = 1,053.74/x
  3. Step 3: Cross multiply
    3,827.15x = 5,740.54 × 1,053.74
  4. Step 4: Simplify right side
    3,827.15x = 6,049,048.34
  5. Step 5: Solve for x
    x = 6,049,048.34/3,827.15
  6. Step 6: Final answer
    x = 1,580.56

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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.