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Finding the Fourth Proportional to 3,875.35, 5,812.97 and 953.66

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Solution

The fourth proportional to 3,875.35, 5,812.97 and 953.66 is: 1,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.35 : 5,812.97 = 953.66 : x
  2. Step 2: Convert to fraction form
    3,875.35/5,812.97 = 953.66/x
  3. Step 3: Cross multiply
    3,875.35x = 5,812.97 × 953.66
  4. Step 4: Simplify right side
    3,875.35x = 5,543,566.71
  5. Step 5: Solve for x
    x = 5,543,566.71/3,875.35
  6. Step 6: Final answer
    x = 1,430.47

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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.