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Finding the Fourth Proportional to 4,556.70, 6,288.98 and 3,438.90

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Solution

The fourth proportional to 4,556.70, 6,288.98 and 3,438.90 is: 4,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.70 : 6,288.98 = 3,438.90 : x
  2. Step 2: Convert to fraction form
    4,556.70/6,288.98 = 3,438.90/x
  3. Step 3: Cross multiply
    4,556.70x = 6,288.98 × 3,438.90
  4. Step 4: Simplify right side
    4,556.70x = 21,627,156.13
  5. Step 5: Solve for x
    x = 21,627,156.13/4,556.70
  6. Step 6: Final answer
    x = 4,746.23

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