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Finding the Fourth Proportional to 4,875.84, 6,727.68 and 2,780.64

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Solution

The fourth proportional to 4,875.84, 6,727.68 and 2,780.64 is: 3,836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.84 : 6,727.68 = 2,780.64 : x
  2. Step 2: Convert to fraction form
    4,875.84/6,727.68 = 2,780.64/x
  3. Step 3: Cross multiply
    4,875.84x = 6,727.68 × 2,780.64
  4. Step 4: Simplify right side
    4,875.84x = 18,707,256.12
  5. Step 5: Solve for x
    x = 18,707,256.12/4,875.84
  6. Step 6: Final answer
    x = 3,836.72

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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.