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Finding the Fourth Proportional to 4,905.48, 7,358.21 and 1,207.77

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Solution

The fourth proportional to 4,905.48, 7,358.21 and 1,207.77 is: 1,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.48 : 7,358.21 = 1,207.77 : x
  2. Step 2: Convert to fraction form
    4,905.48/7,358.21 = 1,207.77/x
  3. Step 3: Cross multiply
    4,905.48x = 7,358.21 × 1,207.77
  4. Step 4: Simplify right side
    4,905.48x = 8,887,025.29
  5. Step 5: Solve for x
    x = 8,887,025.29/4,905.48
  6. Step 6: Final answer
    x = 1,811.65

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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.