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Finding the Fourth Proportional to 3,798.32, 5,697.65 and 1,165.63

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Solution

The fourth proportional to 3,798.32, 5,697.65 and 1,165.63 is: 1,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.32 : 5,697.65 = 1,165.63 : x
  2. Step 2: Convert to fraction form
    3,798.32/5,697.65 = 1,165.63/x
  3. Step 3: Cross multiply
    3,798.32x = 5,697.65 × 1,165.63
  4. Step 4: Simplify right side
    3,798.32x = 6,641,351.77
  5. Step 5: Solve for x
    x = 6,641,351.77/3,798.32
  6. Step 6: Final answer
    x = 1,748.50

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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.