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Finding the Fourth Proportional to 4,596.60, 6,341.52 and 2,827.56

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Solution

The fourth proportional to 4,596.60, 6,341.52 and 2,827.56 is: 3,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.60 : 6,341.52 = 2,827.56 : x
  2. Step 2: Convert to fraction form
    4,596.60/6,341.52 = 2,827.56/x
  3. Step 3: Cross multiply
    4,596.60x = 6,341.52 × 2,827.56
  4. Step 4: Simplify right side
    4,596.60x = 17,931,028.29
  5. Step 5: Solve for x
    x = 17,931,028.29/4,596.60
  6. Step 6: Final answer
    x = 3,900.93

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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.