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Finding the Fourth Proportional to 5,289.93, 7,297.16 and 4,914.50

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Solution

The fourth proportional to 5,289.93, 7,297.16 and 4,914.50 is: 6,779.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.93 : 7,297.16 = 4,914.50 : x
  2. Step 2: Convert to fraction form
    5,289.93/7,297.16 = 4,914.50/x
  3. Step 3: Cross multiply
    5,289.93x = 7,297.16 × 4,914.50
  4. Step 4: Simplify right side
    5,289.93x = 35,861,831.76
  5. Step 5: Solve for x
    x = 35,861,831.76/5,289.93
  6. Step 6: Final answer
    x = 6,779.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.