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Finding the Fourth Proportional to 5,302.40, 7,320.64 and 4,803.20

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Solution

The fourth proportional to 5,302.40, 7,320.64 and 4,803.20 is: 6,631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.40 : 7,320.64 = 4,803.20 : x
  2. Step 2: Convert to fraction form
    5,302.40/7,320.64 = 4,803.20/x
  3. Step 3: Cross multiply
    5,302.40x = 7,320.64 × 4,803.20
  4. Step 4: Simplify right side
    5,302.40x = 35,162,498.05
  5. Step 5: Solve for x
    x = 35,162,498.05/5,302.40
  6. Step 6: Final answer
    x = 6,631.43

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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.