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Finding the Fourth Proportional to 5,000, 6,900 and 2,905.40

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Solution

The fourth proportional to 5,000, 6,900 and 2,905.40 is: 4,009.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000 : 6,900 = 2,905.40 : x
  2. Step 2: Convert to fraction form
    5,000/6,900 = 2,905.40/x
  3. Step 3: Cross multiply
    5,000x = 6,900 × 2,905.40
  4. Step 4: Simplify right side
    5,000x = 20,047,260
  5. Step 5: Solve for x
    x = 20,047,260/5,000
  6. Step 6: Final answer
    x = 4,009.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.