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Finding the Fourth Proportional to 4,009.32, 5,530.08 and 3,678.84

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Solution

The fourth proportional to 4,009.32, 5,530.08 and 3,678.84 is: 5,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.32 : 5,530.08 = 3,678.84 : x
  2. Step 2: Convert to fraction form
    4,009.32/5,530.08 = 3,678.84/x
  3. Step 3: Cross multiply
    4,009.32x = 5,530.08 × 3,678.84
  4. Step 4: Simplify right side
    4,009.32x = 20,344,279.51
  5. Step 5: Solve for x
    x = 20,344,279.51/4,009.32
  6. Step 6: Final answer
    x = 5,074.25

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