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Finding the Fourth Proportional to 5,843.34, 8,062.80 and 5,547.84

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Solution

The fourth proportional to 5,843.34, 8,062.80 and 5,547.84 is: 7,655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.34 : 8,062.80 = 5,547.84 : x
  2. Step 2: Convert to fraction form
    5,843.34/8,062.80 = 5,547.84/x
  3. Step 3: Cross multiply
    5,843.34x = 8,062.80 × 5,547.84
  4. Step 4: Simplify right side
    5,843.34x = 44,731,124.35
  5. Step 5: Solve for x
    x = 44,731,124.35/5,843.34
  6. Step 6: Final answer
    x = 7,655.06

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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.