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Finding the Fourth Proportional to 3,714.30, 5,570.97 and 1,405.50

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Solution

The fourth proportional to 3,714.30, 5,570.97 and 1,405.50 is: 2,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.30 : 5,570.97 = 1,405.50 : x
  2. Step 2: Convert to fraction form
    3,714.30/5,570.97 = 1,405.50/x
  3. Step 3: Cross multiply
    3,714.30x = 5,570.97 × 1,405.50
  4. Step 4: Simplify right side
    3,714.30x = 7,829,998.34
  5. Step 5: Solve for x
    x = 7,829,998.34/3,714.30
  6. Step 6: Final answer
    x = 2,108.07

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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.