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Finding the Fourth Proportional to 3,437.84, 5,155.22 and 972.08

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Solution

The fourth proportional to 3,437.84, 5,155.22 and 972.08 is: 1,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.84 : 5,155.22 = 972.08 : x
  2. Step 2: Convert to fraction form
    3,437.84/5,155.22 = 972.08/x
  3. Step 3: Cross multiply
    3,437.84x = 5,155.22 × 972.08
  4. Step 4: Simplify right side
    3,437.84x = 5,011,286.26
  5. Step 5: Solve for x
    x = 5,011,286.26/3,437.84
  6. Step 6: Final answer
    x = 1,457.68

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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.