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Finding the Fourth Proportional to 5,093.64, 7,641 and 1,807.02

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Solution

The fourth proportional to 5,093.64, 7,641 and 1,807.02 is: 2,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.64 : 7,641 = 1,807.02 : x
  2. Step 2: Convert to fraction form
    5,093.64/7,641 = 1,807.02/x
  3. Step 3: Cross multiply
    5,093.64x = 7,641 × 1,807.02
  4. Step 4: Simplify right side
    5,093.64x = 13,807,439.82
  5. Step 5: Solve for x
    x = 13,807,439.82/5,093.64
  6. Step 6: Final answer
    x = 2,710.72

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Why These Related Problems?

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