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Finding the Fourth Proportional to 3,525.39, 5,287.68 and 928.53

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Solution

The fourth proportional to 3,525.39, 5,287.68 and 928.53 is: 1,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.39 : 5,287.68 = 928.53 : x
  2. Step 2: Convert to fraction form
    3,525.39/5,287.68 = 928.53/x
  3. Step 3: Cross multiply
    3,525.39x = 5,287.68 × 928.53
  4. Step 4: Simplify right side
    3,525.39x = 4,909,769.51
  5. Step 5: Solve for x
    x = 4,909,769.51/3,525.39
  6. Step 6: Final answer
    x = 1,392.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.