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Finding the Fourth Proportional to 5,045.92, 7,566.96 and 2,308

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Solution

The fourth proportional to 5,045.92, 7,566.96 and 2,308 is: 3,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.92 : 7,566.96 = 2,308 : x
  2. Step 2: Convert to fraction form
    5,045.92/7,566.96 = 2,308/x
  3. Step 3: Cross multiply
    5,045.92x = 7,566.96 × 2,308
  4. Step 4: Simplify right side
    5,045.92x = 17,464,543.68
  5. Step 5: Solve for x
    x = 17,464,543.68/5,045.92
  6. Step 6: Final answer
    x = 3,461.12

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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.