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Finding the Fourth Proportional to 4,652.42, 6,420.66 and 2,663.51

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Solution

The fourth proportional to 4,652.42, 6,420.66 and 2,663.51 is: 3,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.42 : 6,420.66 = 2,663.51 : x
  2. Step 2: Convert to fraction form
    4,652.42/6,420.66 = 2,663.51/x
  3. Step 3: Cross multiply
    4,652.42x = 6,420.66 × 2,663.51
  4. Step 4: Simplify right side
    4,652.42x = 17,101,492.12
  5. Step 5: Solve for x
    x = 17,101,492.12/4,652.42
  6. Step 6: Final answer
    x = 3,675.83

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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.