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Finding the Fourth Proportional to 3,483.53, 5,224.74 and 1,291.71

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Solution

The fourth proportional to 3,483.53, 5,224.74 and 1,291.71 is: 1,937.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.53 : 5,224.74 = 1,291.71 : x
  2. Step 2: Convert to fraction form
    3,483.53/5,224.74 = 1,291.71/x
  3. Step 3: Cross multiply
    3,483.53x = 5,224.74 × 1,291.71
  4. Step 4: Simplify right side
    3,483.53x = 6,748,848.91
  5. Step 5: Solve for x
    x = 6,748,848.91/3,483.53
  6. Step 6: Final answer
    x = 1,937.36

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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.