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Finding the Fourth Proportional to 3,497.51, 5,246.29 and 1,417.56

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Solution

The fourth proportional to 3,497.51, 5,246.29 and 1,417.56 is: 2,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.51 : 5,246.29 = 1,417.56 : x
  2. Step 2: Convert to fraction form
    3,497.51/5,246.29 = 1,417.56/x
  3. Step 3: Cross multiply
    3,497.51x = 5,246.29 × 1,417.56
  4. Step 4: Simplify right side
    3,497.51x = 7,436,927.31
  5. Step 5: Solve for x
    x = 7,436,927.31/3,497.51
  6. Step 6: Final answer
    x = 2,126.35

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1.5x scale

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.