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Finding the Fourth Proportional to 5,670.32, 7,828.92 and 4,341.68

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Solution

The fourth proportional to 5,670.32, 7,828.92 and 4,341.68 is: 5,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.32 : 7,828.92 = 4,341.68 : x
  2. Step 2: Convert to fraction form
    5,670.32/7,828.92 = 4,341.68/x
  3. Step 3: Cross multiply
    5,670.32x = 7,828.92 × 4,341.68
  4. Step 4: Simplify right side
    5,670.32x = 33,990,665.39
  5. Step 5: Solve for x
    x = 33,990,665.39/5,670.32
  6. Step 6: Final answer
    x = 5,994.49

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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.