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Finding the Fourth Proportional to 3,875.74, 5,813.48 and 1,684.47

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Solution

The fourth proportional to 3,875.74, 5,813.48 and 1,684.47 is: 2,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.74 : 5,813.48 = 1,684.47 : x
  2. Step 2: Convert to fraction form
    3,875.74/5,813.48 = 1,684.47/x
  3. Step 3: Cross multiply
    3,875.74x = 5,813.48 × 1,684.47
  4. Step 4: Simplify right side
    3,875.74x = 9,792,633.71
  5. Step 5: Solve for x
    x = 9,792,633.71/3,875.74
  6. Step 6: Final answer
    x = 2,526.65

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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.