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Finding the Fourth Proportional to 4,596.60, 6,348.06 and 3,538.20

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Solution

The fourth proportional to 4,596.60, 6,348.06 and 3,538.20 is: 4,886.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.60 : 6,348.06 = 3,538.20 : x
  2. Step 2: Convert to fraction form
    4,596.60/6,348.06 = 3,538.20/x
  3. Step 3: Cross multiply
    4,596.60x = 6,348.06 × 3,538.20
  4. Step 4: Simplify right side
    4,596.60x = 22,460,705.89
  5. Step 5: Solve for x
    x = 22,460,705.89/4,596.60
  6. Step 6: Final answer
    x = 4,886.37

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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.