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Finding the Fourth Proportional to 3,525.12, 5,287.72 and 928.32

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Solution

The fourth proportional to 3,525.12, 5,287.72 and 928.32 is: 1,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.12 : 5,287.72 = 928.32 : x
  2. Step 2: Convert to fraction form
    3,525.12/5,287.72 = 928.32/x
  3. Step 3: Cross multiply
    3,525.12x = 5,287.72 × 928.32
  4. Step 4: Simplify right side
    3,525.12x = 4,908,696.23
  5. Step 5: Solve for x
    x = 4,908,696.23/3,525.12
  6. Step 6: Final answer
    x = 1,392.49

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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.