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Finding the Fourth Proportional to 5,303.40, 7,955.04 and 3,223.98

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Solution

The fourth proportional to 5,303.40, 7,955.04 and 3,223.98 is: 4,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.40 : 7,955.04 = 3,223.98 : x
  2. Step 2: Convert to fraction form
    5,303.40/7,955.04 = 3,223.98/x
  3. Step 3: Cross multiply
    5,303.40x = 7,955.04 × 3,223.98
  4. Step 4: Simplify right side
    5,303.40x = 25,646,901.95
  5. Step 5: Solve for x
    x = 25,646,901.95/5,303.40
  6. Step 6: Final answer
    x = 4,835.94

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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.