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Finding the Fourth Proportional to 4,589.48, 6,925.25 and 4,589.48

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Solution

The fourth proportional to 4,589.48, 6,925.25 and 4,589.48 is: 6,925.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,589.48 : 6,925.25 = 4,589.48 : x
  2. Step 2: Convert to fraction form
    4,589.48/6,925.25 = 4,589.48/x
  3. Step 3: Cross multiply
    4,589.48x = 6,925.25 × 4,589.48
  4. Step 4: Simplify right side
    4,589.48x = 31,783,325.16
  5. Step 5: Solve for x
    x = 31,783,325.16/4,589.48
  6. Step 6: Final answer
    x = 6,925.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.