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Finding the Fourth Proportional to 3,557.43, 5,336.46 and 924.93

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Solution

The fourth proportional to 3,557.43, 5,336.46 and 924.93 is: 1,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,557.43 : 5,336.46 = 924.93 : x
  2. Step 2: Convert to fraction form
    3,557.43/5,336.46 = 924.93/x
  3. Step 3: Cross multiply
    3,557.43x = 5,336.46 × 924.93
  4. Step 4: Simplify right side
    3,557.43x = 4,935,851.95
  5. Step 5: Solve for x
    x = 4,935,851.95/3,557.43
  6. Step 6: Final answer
    x = 1,387.48

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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.