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Finding the Fourth Proportional to 5,680.32, 8,509.54 and 4,641.49

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Solution

The fourth proportional to 5,680.32, 8,509.54 and 4,641.49 is: 6,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.32 : 8,509.54 = 4,641.49 : x
  2. Step 2: Convert to fraction form
    5,680.32/8,509.54 = 4,641.49/x
  3. Step 3: Cross multiply
    5,680.32x = 8,509.54 × 4,641.49
  4. Step 4: Simplify right side
    5,680.32x = 39,496,944.81
  5. Step 5: Solve for x
    x = 39,496,944.81/5,680.32
  6. Step 6: Final answer
    x = 6,953.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.