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Finding the Fourth Proportional to 3,009.47, 4,512.53 and 928.89

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Solution

The fourth proportional to 3,009.47, 4,512.53 and 928.89 is: 1,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.47 : 4,512.53 = 928.89 : x
  2. Step 2: Convert to fraction form
    3,009.47/4,512.53 = 928.89/x
  3. Step 3: Cross multiply
    3,009.47x = 4,512.53 × 928.89
  4. Step 4: Simplify right side
    3,009.47x = 4,191,646.31
  5. Step 5: Solve for x
    x = 4,191,646.31/3,009.47
  6. Step 6: Final answer
    x = 1,392.82

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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.