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Finding the Fourth Proportional to 3,133.76, 4,700.55 and 1,284.35

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Solution

The fourth proportional to 3,133.76, 4,700.55 and 1,284.35 is: 1,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.76 : 4,700.55 = 1,284.35 : x
  2. Step 2: Convert to fraction form
    3,133.76/4,700.55 = 1,284.35/x
  3. Step 3: Cross multiply
    3,133.76x = 4,700.55 × 1,284.35
  4. Step 4: Simplify right side
    3,133.76x = 6,037,151.39
  5. Step 5: Solve for x
    x = 6,037,151.39/3,133.76
  6. Step 6: Final answer
    x = 1,926.49

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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.