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Finding the Fourth Proportional to 3,827.61, 5,740.76 and 1,053.63

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Solution

The fourth proportional to 3,827.61, 5,740.76 and 1,053.63 is: 1,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.61 : 5,740.76 = 1,053.63 : x
  2. Step 2: Convert to fraction form
    3,827.61/5,740.76 = 1,053.63/x
  3. Step 3: Cross multiply
    3,827.61x = 5,740.76 × 1,053.63
  4. Step 4: Simplify right side
    3,827.61x = 6,048,636.96
  5. Step 5: Solve for x
    x = 6,048,636.96/3,827.61
  6. Step 6: Final answer
    x = 1,580.26

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1.5x scale

Why These Related Problems?

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