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Finding the Fourth Proportional to 5,688.84, 7,848.43 and 3,449.94

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Solution

The fourth proportional to 5,688.84, 7,848.43 and 3,449.94 is: 4,759.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.84 : 7,848.43 = 3,449.94 : x
  2. Step 2: Convert to fraction form
    5,688.84/7,848.43 = 3,449.94/x
  3. Step 3: Cross multiply
    5,688.84x = 7,848.43 × 3,449.94
  4. Step 4: Simplify right side
    5,688.84x = 27,076,612.59
  5. Step 5: Solve for x
    x = 27,076,612.59/5,688.84
  6. Step 6: Final answer
    x = 4,759.60

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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.