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Finding the Fourth Proportional to 4,564.68, 6,295.91 and 3,445.67

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Solution

The fourth proportional to 4,564.68, 6,295.91 and 3,445.67 is: 4,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.68 : 6,295.91 = 3,445.67 : x
  2. Step 2: Convert to fraction form
    4,564.68/6,295.91 = 3,445.67/x
  3. Step 3: Cross multiply
    4,564.68x = 6,295.91 × 3,445.67
  4. Step 4: Simplify right side
    4,564.68x = 21,693,579.50
  5. Step 5: Solve for x
    x = 21,693,579.50/4,564.68
  6. Step 6: Final answer
    x = 4,752.49

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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.