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Finding the Fourth Proportional to 4,456.43, 6,646.95 and 4,199.46

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Solution

The fourth proportional to 4,456.43, 6,646.95 and 4,199.46 is: 6,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.43 : 6,646.95 = 4,199.46 : x
  2. Step 2: Convert to fraction form
    4,456.43/6,646.95 = 4,199.46/x
  3. Step 3: Cross multiply
    4,456.43x = 6,646.95 × 4,199.46
  4. Step 4: Simplify right side
    4,456.43x = 27,913,567.41
  5. Step 5: Solve for x
    x = 27,913,567.41/4,456.43
  6. Step 6: Final answer
    x = 6,263.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.