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Finding the Fourth Proportional to 5,752.53, 7,938.54 and 3,394.65

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Solution

The fourth proportional to 5,752.53, 7,938.54 and 3,394.65 is: 4,684.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.53 : 7,938.54 = 3,394.65 : x
  2. Step 2: Convert to fraction form
    5,752.53/7,938.54 = 3,394.65/x
  3. Step 3: Cross multiply
    5,752.53x = 7,938.54 × 3,394.65
  4. Step 4: Simplify right side
    5,752.53x = 26,948,564.81
  5. Step 5: Solve for x
    x = 26,948,564.81/5,752.53
  6. Step 6: Final answer
    x = 4,684.65

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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.