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Finding the Fourth Proportional to 3,714.13, 5,572 and 1,405.63

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Solution

The fourth proportional to 3,714.13, 5,572 and 1,405.63 is: 2,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.13 : 5,572 = 1,405.63 : x
  2. Step 2: Convert to fraction form
    3,714.13/5,572 = 1,405.63/x
  3. Step 3: Cross multiply
    3,714.13x = 5,572 × 1,405.63
  4. Step 4: Simplify right side
    3,714.13x = 7,832,142.50
  5. Step 5: Solve for x
    x = 7,832,142.50/3,714.13
  6. Step 6: Final answer
    x = 2,108.74

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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.