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Finding the Fourth Proportional to 4,646.46, 6,970.15 and 1,359.59

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Solution

The fourth proportional to 4,646.46, 6,970.15 and 1,359.59 is: 2,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.46 : 6,970.15 = 1,359.59 : x
  2. Step 2: Convert to fraction form
    4,646.46/6,970.15 = 1,359.59/x
  3. Step 3: Cross multiply
    4,646.46x = 6,970.15 × 1,359.59
  4. Step 4: Simplify right side
    4,646.46x = 9,476,513.09
  5. Step 5: Solve for x
    x = 9,476,513.09/4,646.46
  6. Step 6: Final answer
    x = 2,039.51

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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.