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Finding the Fourth Proportional to 3,513.66, 5,270.48 and 2,417.72

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Solution

The fourth proportional to 3,513.66, 5,270.48 and 2,417.72 is: 3,626.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.66 : 5,270.48 = 2,417.72 : x
  2. Step 2: Convert to fraction form
    3,513.66/5,270.48 = 2,417.72/x
  3. Step 3: Cross multiply
    3,513.66x = 5,270.48 × 2,417.72
  4. Step 4: Simplify right side
    3,513.66x = 12,742,544.91
  5. Step 5: Solve for x
    x = 12,742,544.91/3,513.66
  6. Step 6: Final answer
    x = 3,626.57

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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.