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Finding the Fourth Proportional to 4,753.70, 7,125.51 and 1,830.74

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Solution

The fourth proportional to 4,753.70, 7,125.51 and 1,830.74 is: 2,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.70 : 7,125.51 = 1,830.74 : x
  2. Step 2: Convert to fraction form
    4,753.70/7,125.51 = 1,830.74/x
  3. Step 3: Cross multiply
    4,753.70x = 7,125.51 × 1,830.74
  4. Step 4: Simplify right side
    4,753.70x = 13,044,956.18
  5. Step 5: Solve for x
    x = 13,044,956.18/4,753.70
  6. Step 6: Final answer
    x = 2,744.17

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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.