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Finding the Fourth Proportional to 5,026.28, 7,539.10 and 1,905.08

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Solution

The fourth proportional to 5,026.28, 7,539.10 and 1,905.08 is: 2,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.28 : 7,539.10 = 1,905.08 : x
  2. Step 2: Convert to fraction form
    5,026.28/7,539.10 = 1,905.08/x
  3. Step 3: Cross multiply
    5,026.28x = 7,539.10 × 1,905.08
  4. Step 4: Simplify right side
    5,026.28x = 14,362,588.63
  5. Step 5: Solve for x
    x = 14,362,588.63/5,026.28
  6. Step 6: Final answer
    x = 2,857.50

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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.