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Finding the Fourth Proportional to 4,714.60, 7,075.74 and 2,494.24

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Solution

The fourth proportional to 4,714.60, 7,075.74 and 2,494.24 is: 3,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.60 : 7,075.74 = 2,494.24 : x
  2. Step 2: Convert to fraction form
    4,714.60/7,075.74 = 2,494.24/x
  3. Step 3: Cross multiply
    4,714.60x = 7,075.74 × 2,494.24
  4. Step 4: Simplify right side
    4,714.60x = 17,648,593.74
  5. Step 5: Solve for x
    x = 17,648,593.74/4,714.60
  6. Step 6: Final answer
    x = 3,743.39

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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.