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Finding the Fourth Proportional to 3,271.95, 4,907.98 and 932.02

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Solution

The fourth proportional to 3,271.95, 4,907.98 and 932.02 is: 1,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.95 : 4,907.98 = 932.02 : x
  2. Step 2: Convert to fraction form
    3,271.95/4,907.98 = 932.02/x
  3. Step 3: Cross multiply
    3,271.95x = 4,907.98 × 932.02
  4. Step 4: Simplify right side
    3,271.95x = 4,574,335.52
  5. Step 5: Solve for x
    x = 4,574,335.52/3,271.95
  6. Step 6: Final answer
    x = 1,398.05

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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.