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Finding the Fourth Proportional to 4,707.72, 6,526.41 and 4,458.12

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Solution

The fourth proportional to 4,707.72, 6,526.41 and 4,458.12 is: 6,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.72 : 6,526.41 = 4,458.12 : x
  2. Step 2: Convert to fraction form
    4,707.72/6,526.41 = 4,458.12/x
  3. Step 3: Cross multiply
    4,707.72x = 6,526.41 × 4,458.12
  4. Step 4: Simplify right side
    4,707.72x = 29,095,518.95
  5. Step 5: Solve for x
    x = 29,095,518.95/4,707.72
  6. Step 6: Final answer
    x = 6,180.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.