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Finding the Fourth Proportional to 4,652.10, 6,417.09 and 3,655.80

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Solution

The fourth proportional to 4,652.10, 6,417.09 and 3,655.80 is: 5,042.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.10 : 6,417.09 = 3,655.80 : x
  2. Step 2: Convert to fraction form
    4,652.10/6,417.09 = 3,655.80/x
  3. Step 3: Cross multiply
    4,652.10x = 6,417.09 × 3,655.80
  4. Step 4: Simplify right side
    4,652.10x = 23,459,597.62
  5. Step 5: Solve for x
    x = 23,459,597.62/4,652.10
  6. Step 6: Final answer
    x = 5,042.80

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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.