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Finding the Fourth Proportional to 4,979.16, 7,468.50 and 1,281.48

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Solution

The fourth proportional to 4,979.16, 7,468.50 and 1,281.48 is: 1,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,979.16 : 7,468.50 = 1,281.48 : x
  2. Step 2: Convert to fraction form
    4,979.16/7,468.50 = 1,281.48/x
  3. Step 3: Cross multiply
    4,979.16x = 7,468.50 × 1,281.48
  4. Step 4: Simplify right side
    4,979.16x = 9,570,733.38
  5. Step 5: Solve for x
    x = 9,570,733.38/4,979.16
  6. Step 6: Final answer
    x = 1,922.16

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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.