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Finding the Fourth Proportional to 4,341.60, 6,509.90 and 3,822.65

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Solution

The fourth proportional to 4,341.60, 6,509.90 and 3,822.65 is: 5,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.60 : 6,509.90 = 3,822.65 : x
  2. Step 2: Convert to fraction form
    4,341.60/6,509.90 = 3,822.65/x
  3. Step 3: Cross multiply
    4,341.60x = 6,509.90 × 3,822.65
  4. Step 4: Simplify right side
    4,341.60x = 24,885,069.24
  5. Step 5: Solve for x
    x = 24,885,069.24/4,341.60
  6. Step 6: Final answer
    x = 5,731.77

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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.