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Finding the Fourth Proportional to 4,595.27, 6,334.47 and 3,788.78

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Solution

The fourth proportional to 4,595.27, 6,334.47 and 3,788.78 is: 5,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595.27 : 6,334.47 = 3,788.78 : x
  2. Step 2: Convert to fraction form
    4,595.27/6,334.47 = 3,788.78/x
  3. Step 3: Cross multiply
    4,595.27x = 6,334.47 × 3,788.78
  4. Step 4: Simplify right side
    4,595.27x = 23,999,881.57
  5. Step 5: Solve for x
    x = 23,999,881.57/4,595.27
  6. Step 6: Final answer
    x = 5,222.74

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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.