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Finding the Fourth Proportional to 6,453.60, 8,895.32 and 4,562.74

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Solution

The fourth proportional to 6,453.60, 8,895.32 and 4,562.74 is: 6,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.60 : 8,895.32 = 4,562.74 : x
  2. Step 2: Convert to fraction form
    6,453.60/8,895.32 = 4,562.74/x
  3. Step 3: Cross multiply
    6,453.60x = 8,895.32 × 4,562.74
  4. Step 4: Simplify right side
    6,453.60x = 40,587,032.38
  5. Step 5: Solve for x
    x = 40,587,032.38/6,453.60
  6. Step 6: Final answer
    x = 6,289.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.