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Finding the Fourth Proportional to 5,143.64, 7,098.19 and 2,905.40

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Solution

The fourth proportional to 5,143.64, 7,098.19 and 2,905.40 is: 4,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.64 : 7,098.19 = 2,905.40 : x
  2. Step 2: Convert to fraction form
    5,143.64/7,098.19 = 2,905.40/x
  3. Step 3: Cross multiply
    5,143.64x = 7,098.19 × 2,905.40
  4. Step 4: Simplify right side
    5,143.64x = 20,623,091.71
  5. Step 5: Solve for x
    x = 20,623,091.71/5,143.64
  6. Step 6: Final answer
    x = 4,009.44

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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.