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Finding the Fourth Proportional to 3,165.86, 4,748.80 and 1,875.54

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Solution

The fourth proportional to 3,165.86, 4,748.80 and 1,875.54 is: 2,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.86 : 4,748.80 = 1,875.54 : x
  2. Step 2: Convert to fraction form
    3,165.86/4,748.80 = 1,875.54/x
  3. Step 3: Cross multiply
    3,165.86x = 4,748.80 × 1,875.54
  4. Step 4: Simplify right side
    3,165.86x = 8,906,564.35
  5. Step 5: Solve for x
    x = 8,906,564.35/3,165.86
  6. Step 6: Final answer
    x = 2,813.32

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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.