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Finding the Fourth Proportional to 4,748.76, 7,120.50 and 1,460.94

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Solution

The fourth proportional to 4,748.76, 7,120.50 and 1,460.94 is: 2,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.76 : 7,120.50 = 1,460.94 : x
  2. Step 2: Convert to fraction form
    4,748.76/7,120.50 = 1,460.94/x
  3. Step 3: Cross multiply
    4,748.76x = 7,120.50 × 1,460.94
  4. Step 4: Simplify right side
    4,748.76x = 10,402,623.27
  5. Step 5: Solve for x
    x = 10,402,623.27/4,748.76
  6. Step 6: Final answer
    x = 2,190.60

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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.