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Finding the Fourth Proportional to 5,370.95, 7,417.53 and 3,696.68

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Solution

The fourth proportional to 5,370.95, 7,417.53 and 3,696.68 is: 5,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.95 : 7,417.53 = 3,696.68 : x
  2. Step 2: Convert to fraction form
    5,370.95/7,417.53 = 3,696.68/x
  3. Step 3: Cross multiply
    5,370.95x = 7,417.53 × 3,696.68
  4. Step 4: Simplify right side
    5,370.95x = 27,420,197.71
  5. Step 5: Solve for x
    x = 27,420,197.71/5,370.95
  6. Step 6: Final answer
    x = 5,105.28

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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.