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Finding the Fourth Proportional to 4,566.30, 6,849.45 and 4,323.30

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Solution

The fourth proportional to 4,566.30, 6,849.45 and 4,323.30 is: 6,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.30 : 6,849.45 = 4,323.30 : x
  2. Step 2: Convert to fraction form
    4,566.30/6,849.45 = 4,323.30/x
  3. Step 3: Cross multiply
    4,566.30x = 6,849.45 × 4,323.30
  4. Step 4: Simplify right side
    4,566.30x = 29,612,227.19
  5. Step 5: Solve for x
    x = 29,612,227.19/4,566.30
  6. Step 6: Final answer
    x = 6,484.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.