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Finding the Fourth Proportional to 5,133.42, 7,714.55 and 3,053.80

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Solution

The fourth proportional to 5,133.42, 7,714.55 and 3,053.80 is: 4,589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.42 : 7,714.55 = 3,053.80 : x
  2. Step 2: Convert to fraction form
    5,133.42/7,714.55 = 3,053.80/x
  3. Step 3: Cross multiply
    5,133.42x = 7,714.55 × 3,053.80
  4. Step 4: Simplify right side
    5,133.42x = 23,558,681.14
  5. Step 5: Solve for x
    x = 23,558,681.14/5,133.42
  6. Step 6: Final answer
    x = 4,589.28

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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.