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Finding the Fourth Proportional to 5,303.52, 7,946.16 and 2,839.50

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Solution

The fourth proportional to 5,303.52, 7,946.16 and 2,839.50 is: 4,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.52 : 7,946.16 = 2,839.50 : x
  2. Step 2: Convert to fraction form
    5,303.52/7,946.16 = 2,839.50/x
  3. Step 3: Cross multiply
    5,303.52x = 7,946.16 × 2,839.50
  4. Step 4: Simplify right side
    5,303.52x = 22,563,121.32
  5. Step 5: Solve for x
    x = 22,563,121.32/5,303.52
  6. Step 6: Final answer
    x = 4,254.37

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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.