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Finding the Fourth Proportional to 3,497.84, 5,246.73 and 1,417.81

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Solution

The fourth proportional to 3,497.84, 5,246.73 and 1,417.81 is: 2,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.84 : 5,246.73 = 1,417.81 : x
  2. Step 2: Convert to fraction form
    3,497.84/5,246.73 = 1,417.81/x
  3. Step 3: Cross multiply
    3,497.84x = 5,246.73 × 1,417.81
  4. Step 4: Simplify right side
    3,497.84x = 7,438,866.26
  5. Step 5: Solve for x
    x = 7,438,866.26/3,497.84
  6. Step 6: Final answer
    x = 2,126.70

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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.