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Finding the Fourth Proportional to 4,836.16, 7,254.24 and 1,758.40

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Solution

The fourth proportional to 4,836.16, 7,254.24 and 1,758.40 is: 2,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,836.16 : 7,254.24 = 1,758.40 : x
  2. Step 2: Convert to fraction form
    4,836.16/7,254.24 = 1,758.40/x
  3. Step 3: Cross multiply
    4,836.16x = 7,254.24 × 1,758.40
  4. Step 4: Simplify right side
    4,836.16x = 12,755,855.62
  5. Step 5: Solve for x
    x = 12,755,855.62/4,836.16
  6. Step 6: Final answer
    x = 2,637.60

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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.