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Finding the Fourth Proportional to 5,506.02, 7,594.95 and 3,266.40

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Solution

The fourth proportional to 5,506.02, 7,594.95 and 3,266.40 is: 4,505.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.02 : 7,594.95 = 3,266.40 : x
  2. Step 2: Convert to fraction form
    5,506.02/7,594.95 = 3,266.40/x
  3. Step 3: Cross multiply
    5,506.02x = 7,594.95 × 3,266.40
  4. Step 4: Simplify right side
    5,506.02x = 24,808,144.68
  5. Step 5: Solve for x
    x = 24,808,144.68/5,506.02
  6. Step 6: Final answer
    x = 4,505.64

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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.