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Finding the Fourth Proportional to 5,726.51, 8,628.77 and 4,709.30

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Solution

The fourth proportional to 5,726.51, 8,628.77 and 4,709.30 is: 7,096.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.51 : 8,628.77 = 4,709.30 : x
  2. Step 2: Convert to fraction form
    5,726.51/8,628.77 = 4,709.30/x
  3. Step 3: Cross multiply
    5,726.51x = 8,628.77 × 4,709.30
  4. Step 4: Simplify right side
    5,726.51x = 40,635,430.78
  5. Step 5: Solve for x
    x = 40,635,430.78/5,726.51
  6. Step 6: Final answer
    x = 7,096.02

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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.