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Finding the Fourth Proportional to 4,992.32, 7,489.76 and 1,705.47

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Solution

The fourth proportional to 4,992.32, 7,489.76 and 1,705.47 is: 2,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,992.32 : 7,489.76 = 1,705.47 : x
  2. Step 2: Convert to fraction form
    4,992.32/7,489.76 = 1,705.47/x
  3. Step 3: Cross multiply
    4,992.32x = 7,489.76 × 1,705.47
  4. Step 4: Simplify right side
    4,992.32x = 12,773,552.46
  5. Step 5: Solve for x
    x = 12,773,552.46/4,992.32
  6. Step 6: Final answer
    x = 2,558.64

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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.