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Finding the Fourth Proportional to 5,304.96, 7,948.33 and 4,842.05

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Solution

The fourth proportional to 5,304.96, 7,948.33 and 4,842.05 is: 7,254.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.96 : 7,948.33 = 4,842.05 : x
  2. Step 2: Convert to fraction form
    5,304.96/7,948.33 = 4,842.05/x
  3. Step 3: Cross multiply
    5,304.96x = 7,948.33 × 4,842.05
  4. Step 4: Simplify right side
    5,304.96x = 38,486,159.43
  5. Step 5: Solve for x
    x = 38,486,159.43/5,304.96
  6. Step 6: Final answer
    x = 7,254.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.