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Finding the Fourth Proportional to 3,218.68, 4,438.02 and 2,985.40

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Solution

The fourth proportional to 3,218.68, 4,438.02 and 2,985.40 is: 4,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.68 : 4,438.02 = 2,985.40 : x
  2. Step 2: Convert to fraction form
    3,218.68/4,438.02 = 2,985.40/x
  3. Step 3: Cross multiply
    3,218.68x = 4,438.02 × 2,985.40
  4. Step 4: Simplify right side
    3,218.68x = 13,249,264.91
  5. Step 5: Solve for x
    x = 13,249,264.91/3,218.68
  6. Step 6: Final answer
    x = 4,116.37

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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.