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Finding the Fourth Proportional to 5,391.60, 7,444.53 and 4,210.62

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Solution

The fourth proportional to 5,391.60, 7,444.53 and 4,210.62 is: 5,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.60 : 7,444.53 = 4,210.62 : x
  2. Step 2: Convert to fraction form
    5,391.60/7,444.53 = 4,210.62/x
  3. Step 3: Cross multiply
    5,391.60x = 7,444.53 × 4,210.62
  4. Step 4: Simplify right side
    5,391.60x = 31,346,086.91
  5. Step 5: Solve for x
    x = 31,346,086.91/5,391.60
  6. Step 6: Final answer
    x = 5,813.87

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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.