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Finding the Fourth Proportional to 5,298.96, 7,295.89 and 4,500.57

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Solution

The fourth proportional to 5,298.96, 7,295.89 and 4,500.57 is: 6,196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.96 : 7,295.89 = 4,500.57 : x
  2. Step 2: Convert to fraction form
    5,298.96/7,295.89 = 4,500.57/x
  3. Step 3: Cross multiply
    5,298.96x = 7,295.89 × 4,500.57
  4. Step 4: Simplify right side
    5,298.96x = 32,835,663.66
  5. Step 5: Solve for x
    x = 32,835,663.66/5,298.96
  6. Step 6: Final answer
    x = 6,196.62

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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.