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Finding the Fourth Proportional to 4,742.08, 7,113.28 and 1,454.88

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Solution

The fourth proportional to 4,742.08, 7,113.28 and 1,454.88 is: 2,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.08 : 7,113.28 = 1,454.88 : x
  2. Step 2: Convert to fraction form
    4,742.08/7,113.28 = 1,454.88/x
  3. Step 3: Cross multiply
    4,742.08x = 7,113.28 × 1,454.88
  4. Step 4: Simplify right side
    4,742.08x = 10,348,968.81
  5. Step 5: Solve for x
    x = 10,348,968.81/4,742.08
  6. Step 6: Final answer
    x = 2,182.37

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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.