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Finding the Fourth Proportional to 5,705.94, 7,875.12 and 3,437.54

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Solution

The fourth proportional to 5,705.94, 7,875.12 and 3,437.54 is: 4,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.94 : 7,875.12 = 3,437.54 : x
  2. Step 2: Convert to fraction form
    5,705.94/7,875.12 = 3,437.54/x
  3. Step 3: Cross multiply
    5,705.94x = 7,875.12 × 3,437.54
  4. Step 4: Simplify right side
    5,705.94x = 27,071,043.05
  5. Step 5: Solve for x
    x = 27,071,043.05/5,705.94
  6. Step 6: Final answer
    x = 4,744.36

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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.