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Finding the Fourth Proportional to 3,852.61, 5,316.61 and 2,084.23

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Solution

The fourth proportional to 3,852.61, 5,316.61 and 2,084.23 is: 2,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.61 : 5,316.61 = 2,084.23 : x
  2. Step 2: Convert to fraction form
    3,852.61/5,316.61 = 2,084.23/x
  3. Step 3: Cross multiply
    3,852.61x = 5,316.61 × 2,084.23
  4. Step 4: Simplify right side
    3,852.61x = 11,081,038.06
  5. Step 5: Solve for x
    x = 11,081,038.06/3,852.61
  6. Step 6: Final answer
    x = 2,876.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.