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Finding the Fourth Proportional to 4,968.64, 7,454.20 and 1,505.90

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Solution

The fourth proportional to 4,968.64, 7,454.20 and 1,505.90 is: 2,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.64 : 7,454.20 = 1,505.90 : x
  2. Step 2: Convert to fraction form
    4,968.64/7,454.20 = 1,505.90/x
  3. Step 3: Cross multiply
    4,968.64x = 7,454.20 × 1,505.90
  4. Step 4: Simplify right side
    4,968.64x = 11,225,279.78
  5. Step 5: Solve for x
    x = 11,225,279.78/4,968.64
  6. Step 6: Final answer
    x = 2,259.23

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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.