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Finding the Fourth Proportional to 6,470.56, 8,931.90 and 4,584.88

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Solution

The fourth proportional to 6,470.56, 8,931.90 and 4,584.88 is: 6,328.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.56 : 8,931.90 = 4,584.88 : x
  2. Step 2: Convert to fraction form
    6,470.56/8,931.90 = 4,584.88/x
  3. Step 3: Cross multiply
    6,470.56x = 8,931.90 × 4,584.88
  4. Step 4: Simplify right side
    6,470.56x = 40,951,689.67
  5. Step 5: Solve for x
    x = 40,951,689.67/6,470.56
  6. Step 6: Final answer
    x = 6,328.93

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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.