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Finding the Fourth Proportional to 5,499.16, 8,242.98 and 2,575

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Solution

The fourth proportional to 5,499.16, 8,242.98 and 2,575 is: 3,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,499.16 : 8,242.98 = 2,575 : x
  2. Step 2: Convert to fraction form
    5,499.16/8,242.98 = 2,575/x
  3. Step 3: Cross multiply
    5,499.16x = 8,242.98 × 2,575
  4. Step 4: Simplify right side
    5,499.16x = 21,225,673.50
  5. Step 5: Solve for x
    x = 21,225,673.50/5,499.16
  6. Step 6: Final answer
    x = 3,859.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.