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Finding the Fourth Proportional to 4,752.45, 7,132.05 and 1,830.74

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Solution

The fourth proportional to 4,752.45, 7,132.05 and 1,830.74 is: 2,747.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.45 : 7,132.05 = 1,830.74 : x
  2. Step 2: Convert to fraction form
    4,752.45/7,132.05 = 1,830.74/x
  3. Step 3: Cross multiply
    4,752.45x = 7,132.05 × 1,830.74
  4. Step 4: Simplify right side
    4,752.45x = 13,056,893.56
  5. Step 5: Solve for x
    x = 13,056,893.56/4,752.45
  6. Step 6: Final answer
    x = 2,747.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.