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Finding the Fourth Proportional to 5,002.63, 7,498.72 and 1,714.57

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Solution

The fourth proportional to 5,002.63, 7,498.72 and 1,714.57 is: 2,570.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.63 : 7,498.72 = 1,714.57 : x
  2. Step 2: Convert to fraction form
    5,002.63/7,498.72 = 1,714.57/x
  3. Step 3: Cross multiply
    5,002.63x = 7,498.72 × 1,714.57
  4. Step 4: Simplify right side
    5,002.63x = 12,857,080.35
  5. Step 5: Solve for x
    x = 12,857,080.35/5,002.63
  6. Step 6: Final answer
    x = 2,570.06

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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.