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Finding the Fourth Proportional to 5,702.79, 7,872.08 and 3,465.03

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Solution

The fourth proportional to 5,702.79, 7,872.08 and 3,465.03 is: 4,783.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.79 : 7,872.08 = 3,465.03 : x
  2. Step 2: Convert to fraction form
    5,702.79/7,872.08 = 3,465.03/x
  3. Step 3: Cross multiply
    5,702.79x = 7,872.08 × 3,465.03
  4. Step 4: Simplify right side
    5,702.79x = 27,276,976.04
  5. Step 5: Solve for x
    x = 27,276,976.04/5,702.79
  6. Step 6: Final answer
    x = 4,783.09

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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.