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Finding the Fourth Proportional to 5,698.63, 7,864.05 and 3,340.32

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Solution

The fourth proportional to 5,698.63, 7,864.05 and 3,340.32 is: 4,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.63 : 7,864.05 = 3,340.32 : x
  2. Step 2: Convert to fraction form
    5,698.63/7,864.05 = 3,340.32/x
  3. Step 3: Cross multiply
    5,698.63x = 7,864.05 × 3,340.32
  4. Step 4: Simplify right side
    5,698.63x = 26,268,443.50
  5. Step 5: Solve for x
    x = 26,268,443.50/5,698.63
  6. Step 6: Final answer
    x = 4,609.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.