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Finding the Fourth Proportional to 7,054, 9,734.52 and 3,910.40

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Solution

The fourth proportional to 7,054, 9,734.52 and 3,910.40 is: 5,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054 : 9,734.52 = 3,910.40 : x
  2. Step 2: Convert to fraction form
    7,054/9,734.52 = 3,910.40/x
  3. Step 3: Cross multiply
    7,054x = 9,734.52 × 3,910.40
  4. Step 4: Simplify right side
    7,054x = 38,065,867.01
  5. Step 5: Solve for x
    x = 38,065,867.01/7,054
  6. Step 6: Final answer
    x = 5,396.35

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Why These Related Problems?

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