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Finding the Fourth Proportional to 4,645.47, 6,968.44 and 1,871.77

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Solution

The fourth proportional to 4,645.47, 6,968.44 and 1,871.77 is: 2,807.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.47 : 6,968.44 = 1,871.77 : x
  2. Step 2: Convert to fraction form
    4,645.47/6,968.44 = 1,871.77/x
  3. Step 3: Cross multiply
    4,645.47x = 6,968.44 × 1,871.77
  4. Step 4: Simplify right side
    4,645.47x = 13,043,316.94
  5. Step 5: Solve for x
    x = 13,043,316.94/4,645.47
  6. Step 6: Final answer
    x = 2,807.75

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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.