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Finding the Fourth Proportional to 4,653.06, 6,421.05 and 2,663.57

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Solution

The fourth proportional to 4,653.06, 6,421.05 and 2,663.57 is: 3,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.06 : 6,421.05 = 2,663.57 : x
  2. Step 2: Convert to fraction form
    4,653.06/6,421.05 = 2,663.57/x
  3. Step 3: Cross multiply
    4,653.06x = 6,421.05 × 2,663.57
  4. Step 4: Simplify right side
    4,653.06x = 17,102,884.04
  5. Step 5: Solve for x
    x = 17,102,884.04/4,653.06
  6. Step 6: Final answer
    x = 3,675.62

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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.