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Finding the Fourth Proportional to 4,646.68, 6,970.01 and 2,012.03

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Solution

The fourth proportional to 4,646.68, 6,970.01 and 2,012.03 is: 3,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.68 : 6,970.01 = 2,012.03 : x
  2. Step 2: Convert to fraction form
    4,646.68/6,970.01 = 2,012.03/x
  3. Step 3: Cross multiply
    4,646.68x = 6,970.01 × 2,012.03
  4. Step 4: Simplify right side
    4,646.68x = 14,023,839.40
  5. Step 5: Solve for x
    x = 14,023,839.40/4,646.68
  6. Step 6: Final answer
    x = 3,018.04

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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.