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Finding the Fourth Proportional to 4,898.01, 7,346.64 and 1,434.81

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Solution

The fourth proportional to 4,898.01, 7,346.64 and 1,434.81 is: 2,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,898.01 : 7,346.64 = 1,434.81 : x
  2. Step 2: Convert to fraction form
    4,898.01/7,346.64 = 1,434.81/x
  3. Step 3: Cross multiply
    4,898.01x = 7,346.64 × 1,434.81
  4. Step 4: Simplify right side
    4,898.01x = 10,541,032.54
  5. Step 5: Solve for x
    x = 10,541,032.54/4,898.01
  6. Step 6: Final answer
    x = 2,152.11

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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.