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Finding the Fourth Proportional to 4,354.65, 6,009.47 and 2,365.23

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Solution

The fourth proportional to 4,354.65, 6,009.47 and 2,365.23 is: 3,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.65 : 6,009.47 = 2,365.23 : x
  2. Step 2: Convert to fraction form
    4,354.65/6,009.47 = 2,365.23/x
  3. Step 3: Cross multiply
    4,354.65x = 6,009.47 × 2,365.23
  4. Step 4: Simplify right side
    4,354.65x = 14,213,778.73
  5. Step 5: Solve for x
    x = 14,213,778.73/4,354.65
  6. Step 6: Final answer
    x = 3,264.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.