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Finding the Fourth Proportional to 4,656.61, 6,989.10 and 4,162.24

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Solution

The fourth proportional to 4,656.61, 6,989.10 and 4,162.24 is: 6,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.61 : 6,989.10 = 4,162.24 : x
  2. Step 2: Convert to fraction form
    4,656.61/6,989.10 = 4,162.24/x
  3. Step 3: Cross multiply
    4,656.61x = 6,989.10 × 4,162.24
  4. Step 4: Simplify right side
    4,656.61x = 29,090,311.58
  5. Step 5: Solve for x
    x = 29,090,311.58/4,656.61
  6. Step 6: Final answer
    x = 6,247.10

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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.