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Finding the Fourth Proportional to 4,864.32, 7,282.71 and 4,402.98

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Solution

The fourth proportional to 4,864.32, 7,282.71 and 4,402.98 is: 6,592.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.32 : 7,282.71 = 4,402.98 : x
  2. Step 2: Convert to fraction form
    4,864.32/7,282.71 = 4,402.98/x
  3. Step 3: Cross multiply
    4,864.32x = 7,282.71 × 4,402.98
  4. Step 4: Simplify right side
    4,864.32x = 32,065,626.48
  5. Step 5: Solve for x
    x = 32,065,626.48/4,864.32
  6. Step 6: Final answer
    x = 6,592.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.