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Finding the Fourth Proportional to 5,335.20, 7,454.70 and 5,335.20

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Solution

The fourth proportional to 5,335.20, 7,454.70 and 5,335.20 is: 7,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.20 : 7,454.70 = 5,335.20 : x
  2. Step 2: Convert to fraction form
    5,335.20/7,454.70 = 5,335.20/x
  3. Step 3: Cross multiply
    5,335.20x = 7,454.70 × 5,335.20
  4. Step 4: Simplify right side
    5,335.20x = 39,772,315.44
  5. Step 5: Solve for x
    x = 39,772,315.44/5,335.20
  6. Step 6: Final answer
    x = 7,454.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.