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Finding the Fourth Proportional to 4,714.40, 7,055.40 and 3,256.40

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Solution

The fourth proportional to 4,714.40, 7,055.40 and 3,256.40 is: 4,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.40 : 7,055.40 = 3,256.40 : x
  2. Step 2: Convert to fraction form
    4,714.40/7,055.40 = 3,256.40/x
  3. Step 3: Cross multiply
    4,714.40x = 7,055.40 × 3,256.40
  4. Step 4: Simplify right side
    4,714.40x = 22,975,204.56
  5. Step 5: Solve for x
    x = 22,975,204.56/4,714.40
  6. Step 6: Final answer
    x = 4,873.41

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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.