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Finding the Fourth Proportional to 5,488.35, 8,214.30 and 5,488.35

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Solution

The fourth proportional to 5,488.35, 8,214.30 and 5,488.35 is: 8,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.35 : 8,214.30 = 5,488.35 : x
  2. Step 2: Convert to fraction form
    5,488.35/8,214.30 = 5,488.35/x
  3. Step 3: Cross multiply
    5,488.35x = 8,214.30 × 5,488.35
  4. Step 4: Simplify right side
    5,488.35x = 45,082,953.41
  5. Step 5: Solve for x
    x = 45,082,953.41/5,488.35
  6. Step 6: Final answer
    x = 8,214.30

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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.