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Finding the Fourth Proportional to 4,602.52, 6,875.33 and 4,139.56

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Solution

The fourth proportional to 4,602.52, 6,875.33 and 4,139.56 is: 6,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.52 : 6,875.33 = 4,139.56 : x
  2. Step 2: Convert to fraction form
    4,602.52/6,875.33 = 4,139.56/x
  3. Step 3: Cross multiply
    4,602.52x = 6,875.33 × 4,139.56
  4. Step 4: Simplify right side
    4,602.52x = 28,460,841.05
  5. Step 5: Solve for x
    x = 28,460,841.05/4,602.52
  6. Step 6: Final answer
    x = 6,183.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.