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Finding the Fourth Proportional to 4,284.63, 6,421.95 and 3,505.95

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Solution

The fourth proportional to 4,284.63, 6,421.95 and 3,505.95 is: 5,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.63 : 6,421.95 = 3,505.95 : x
  2. Step 2: Convert to fraction form
    4,284.63/6,421.95 = 3,505.95/x
  3. Step 3: Cross multiply
    4,284.63x = 6,421.95 × 3,505.95
  4. Step 4: Simplify right side
    4,284.63x = 22,515,035.60
  5. Step 5: Solve for x
    x = 22,515,035.60/4,284.63
  6. Step 6: Final answer
    x = 5,254.84

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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.