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Finding the Fourth Proportional to 4,402.62, 6,598.26 and 2,646.54

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Solution

The fourth proportional to 4,402.62, 6,598.26 and 2,646.54 is: 3,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.62 : 6,598.26 = 2,646.54 : x
  2. Step 2: Convert to fraction form
    4,402.62/6,598.26 = 2,646.54/x
  3. Step 3: Cross multiply
    4,402.62x = 6,598.26 × 2,646.54
  4. Step 4: Simplify right side
    4,402.62x = 17,462,559.02
  5. Step 5: Solve for x
    x = 17,462,559.02/4,402.62
  6. Step 6: Final answer
    x = 3,966.40

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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.