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Finding the Fourth Proportional to 4,606.40, 6,272.48 and 4,606.40

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Solution

The fourth proportional to 4,606.40, 6,272.48 and 4,606.40 is: 6,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.40 : 6,272.48 = 4,606.40 : x
  2. Step 2: Convert to fraction form
    4,606.40/6,272.48 = 4,606.40/x
  3. Step 3: Cross multiply
    4,606.40x = 6,272.48 × 4,606.40
  4. Step 4: Simplify right side
    4,606.40x = 28,893,551.87
  5. Step 5: Solve for x
    x = 28,893,551.87/4,606.40
  6. Step 6: Final answer
    x = 6,272.48

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.