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Finding the Fourth Proportional to 3,714.80, 5,124.48 and 3,014.96

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Solution

The fourth proportional to 3,714.80, 5,124.48 and 3,014.96 is: 4,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.80 : 5,124.48 = 3,014.96 : x
  2. Step 2: Convert to fraction form
    3,714.80/5,124.48 = 3,014.96/x
  3. Step 3: Cross multiply
    3,714.80x = 5,124.48 × 3,014.96
  4. Step 4: Simplify right side
    3,714.80x = 15,450,102.22
  5. Step 5: Solve for x
    x = 15,450,102.22/3,714.80
  6. Step 6: Final answer
    x = 4,159.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.