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Finding the Fourth Proportional to 5,465.70, 7,538.40 and 4,628.70

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Solution

The fourth proportional to 5,465.70, 7,538.40 and 4,628.70 is: 6,383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.70 : 7,538.40 = 4,628.70 : x
  2. Step 2: Convert to fraction form
    5,465.70/7,538.40 = 4,628.70/x
  3. Step 3: Cross multiply
    5,465.70x = 7,538.40 × 4,628.70
  4. Step 4: Simplify right side
    5,465.70x = 34,892,992.08
  5. Step 5: Solve for x
    x = 34,892,992.08/5,465.70
  6. Step 6: Final answer
    x = 6,383.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.