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Finding the Fourth Proportional to 5,094.21, 7,642.07 and 1,807.02

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Solution

The fourth proportional to 5,094.21, 7,642.07 and 1,807.02 is: 2,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.21 : 7,642.07 = 1,807.02 : x
  2. Step 2: Convert to fraction form
    5,094.21/7,642.07 = 1,807.02/x
  3. Step 3: Cross multiply
    5,094.21x = 7,642.07 × 1,807.02
  4. Step 4: Simplify right side
    5,094.21x = 13,809,364.30
  5. Step 5: Solve for x
    x = 13,809,364.30/5,094.21
  6. Step 6: Final answer
    x = 2,710.80

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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.