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Finding the Fourth Proportional to 3,569.59, 5,353.71 and 971.92

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Solution

The fourth proportional to 3,569.59, 5,353.71 and 971.92 is: 1,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.59 : 5,353.71 = 971.92 : x
  2. Step 2: Convert to fraction form
    3,569.59/5,353.71 = 971.92/x
  3. Step 3: Cross multiply
    3,569.59x = 5,353.71 × 971.92
  4. Step 4: Simplify right side
    3,569.59x = 5,203,377.82
  5. Step 5: Solve for x
    x = 5,203,377.82/3,569.59
  6. Step 6: Final answer
    x = 1,457.70

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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.