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Finding the Fourth Proportional to 3,006.42, 4,502.62 and 2,902.60

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Solution

The fourth proportional to 3,006.42, 4,502.62 and 2,902.60 is: 4,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.42 : 4,502.62 = 2,902.60 : x
  2. Step 2: Convert to fraction form
    3,006.42/4,502.62 = 2,902.60/x
  3. Step 3: Cross multiply
    3,006.42x = 4,502.62 × 2,902.60
  4. Step 4: Simplify right side
    3,006.42x = 13,069,304.81
  5. Step 5: Solve for x
    x = 13,069,304.81/3,006.42
  6. Step 6: Final answer
    x = 4,347.13

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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.