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Finding the Fourth Proportional to 5,782.73, 8,628.66 and 5,430.07

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Solution

The fourth proportional to 5,782.73, 8,628.66 and 5,430.07 is: 8,102.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.73 : 8,628.66 = 5,430.07 : x
  2. Step 2: Convert to fraction form
    5,782.73/8,628.66 = 5,430.07/x
  3. Step 3: Cross multiply
    5,782.73x = 8,628.66 × 5,430.07
  4. Step 4: Simplify right side
    5,782.73x = 46,854,238.59
  5. Step 5: Solve for x
    x = 46,854,238.59/5,782.73
  6. Step 6: Final answer
    x = 8,102.45

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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.