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Finding the Fourth Proportional to 3,681.76, 5,082.16 and 2,440.16

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Solution

The fourth proportional to 3,681.76, 5,082.16 and 2,440.16 is: 3,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.76 : 5,082.16 = 2,440.16 : x
  2. Step 2: Convert to fraction form
    3,681.76/5,082.16 = 2,440.16/x
  3. Step 3: Cross multiply
    3,681.76x = 5,082.16 × 2,440.16
  4. Step 4: Simplify right side
    3,681.76x = 12,401,283.55
  5. Step 5: Solve for x
    x = 12,401,283.55/3,681.76
  6. Step 6: Final answer
    x = 3,368.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.