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Finding the Fourth Proportional to 4,071, 6,106.56 and 1,335

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Solution

The fourth proportional to 4,071, 6,106.56 and 1,335 is: 2,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071 : 6,106.56 = 1,335 : x
  2. Step 2: Convert to fraction form
    4,071/6,106.56 = 1,335/x
  3. Step 3: Cross multiply
    4,071x = 6,106.56 × 1,335
  4. Step 4: Simplify right side
    4,071x = 8,152,257.60
  5. Step 5: Solve for x
    x = 8,152,257.60/4,071
  6. Step 6: Final answer
    x = 2,002.52

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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.