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Finding the Fourth Proportional to 3,715.49, 5,574.65 and 1,742.19

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Solution

The fourth proportional to 3,715.49, 5,574.65 and 1,742.19 is: 2,613.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.49 : 5,574.65 = 1,742.19 : x
  2. Step 2: Convert to fraction form
    3,715.49/5,574.65 = 1,742.19/x
  3. Step 3: Cross multiply
    3,715.49x = 5,574.65 × 1,742.19
  4. Step 4: Simplify right side
    3,715.49x = 9,712,090.77
  5. Step 5: Solve for x
    x = 9,712,090.77/3,715.49
  6. Step 6: Final answer
    x = 2,613.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.