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Finding the Fourth Proportional to 5,303.50, 7,318.84 and 2,946.02

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Solution

The fourth proportional to 5,303.50, 7,318.84 and 2,946.02 is: 4,065.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.50 : 7,318.84 = 2,946.02 : x
  2. Step 2: Convert to fraction form
    5,303.50/7,318.84 = 2,946.02/x
  3. Step 3: Cross multiply
    5,303.50x = 7,318.84 × 2,946.02
  4. Step 4: Simplify right side
    5,303.50x = 21,561,449.02
  5. Step 5: Solve for x
    x = 21,561,449.02/5,303.50
  6. Step 6: Final answer
    x = 4,065.51

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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.