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Finding the Fourth Proportional to 5,711.91, 7,888.53 and 5,490.51

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Solution

The fourth proportional to 5,711.91, 7,888.53 and 5,490.51 is: 7,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.91 : 7,888.53 = 5,490.51 : x
  2. Step 2: Convert to fraction form
    5,711.91/7,888.53 = 5,490.51/x
  3. Step 3: Cross multiply
    5,711.91x = 7,888.53 × 5,490.51
  4. Step 4: Simplify right side
    5,711.91x = 43,312,052.85
  5. Step 5: Solve for x
    x = 43,312,052.85/5,711.91
  6. Step 6: Final answer
    x = 7,582.76

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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.