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Finding the Fourth Proportional to 4,341.08, 6,509.10 and 3,822.12

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Solution

The fourth proportional to 4,341.08, 6,509.10 and 3,822.12 is: 5,730.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.08 : 6,509.10 = 3,822.12 : x
  2. Step 2: Convert to fraction form
    4,341.08/6,509.10 = 3,822.12/x
  3. Step 3: Cross multiply
    4,341.08x = 6,509.10 × 3,822.12
  4. Step 4: Simplify right side
    4,341.08x = 24,878,541.92
  5. Step 5: Solve for x
    x = 24,878,541.92/4,341.08
  6. Step 6: Final answer
    x = 5,730.96

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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.