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Finding the Fourth Proportional to 5,415.40, 8,123.10 and 4,905.10

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Solution

The fourth proportional to 5,415.40, 8,123.10 and 4,905.10 is: 7,357.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.40 : 8,123.10 = 4,905.10 : x
  2. Step 2: Convert to fraction form
    5,415.40/8,123.10 = 4,905.10/x
  3. Step 3: Cross multiply
    5,415.40x = 8,123.10 × 4,905.10
  4. Step 4: Simplify right side
    5,415.40x = 39,844,617.81
  5. Step 5: Solve for x
    x = 39,844,617.81/5,415.40
  6. Step 6: Final answer
    x = 7,357.65

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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.