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Finding the Fourth Proportional to 3,714.89, 5,573.15 and 1,117.63

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Solution

The fourth proportional to 3,714.89, 5,573.15 and 1,117.63 is: 1,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.89 : 5,573.15 = 1,117.63 : x
  2. Step 2: Convert to fraction form
    3,714.89/5,573.15 = 1,117.63/x
  3. Step 3: Cross multiply
    3,714.89x = 5,573.15 × 1,117.63
  4. Step 4: Simplify right side
    3,714.89x = 6,228,686.18
  5. Step 5: Solve for x
    x = 6,228,686.18/3,714.89
  6. Step 6: Final answer
    x = 1,676.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.