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Finding the Fourth Proportional to 5,657.84, 7,815.43 and 4,347.92

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Solution

The fourth proportional to 5,657.84, 7,815.43 and 4,347.92 is: 6,005.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,657.84 : 7,815.43 = 4,347.92 : x
  2. Step 2: Convert to fraction form
    5,657.84/7,815.43 = 4,347.92/x
  3. Step 3: Cross multiply
    5,657.84x = 7,815.43 × 4,347.92
  4. Step 4: Simplify right side
    5,657.84x = 33,980,864.41
  5. Step 5: Solve for x
    x = 33,980,864.41/5,657.84
  6. Step 6: Final answer
    x = 6,005.98

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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.