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Finding the Fourth Proportional to 5,496.15, 7,582.10 and 5,284.03

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Solution

The fourth proportional to 5,496.15, 7,582.10 and 5,284.03 is: 7,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.15 : 7,582.10 = 5,284.03 : x
  2. Step 2: Convert to fraction form
    5,496.15/7,582.10 = 5,284.03/x
  3. Step 3: Cross multiply
    5,496.15x = 7,582.10 × 5,284.03
  4. Step 4: Simplify right side
    5,496.15x = 40,064,043.86
  5. Step 5: Solve for x
    x = 40,064,043.86/5,496.15
  6. Step 6: Final answer
    x = 7,289.47

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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.