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Finding the Fourth Proportional to 5,798.31, 8,655.48 and 5,097.69

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Solution

The fourth proportional to 5,798.31, 8,655.48 and 5,097.69 is: 7,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.31 : 8,655.48 = 5,097.69 : x
  2. Step 2: Convert to fraction form
    5,798.31/8,655.48 = 5,097.69/x
  3. Step 3: Cross multiply
    5,798.31x = 8,655.48 × 5,097.69
  4. Step 4: Simplify right side
    5,798.31x = 44,122,953.84
  5. Step 5: Solve for x
    x = 44,122,953.84/5,798.31
  6. Step 6: Final answer
    x = 7,609.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.