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Finding the Fourth Proportional to 4,114.65, 5,749.58 and 4,114.65

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Solution

The fourth proportional to 4,114.65, 5,749.58 and 4,114.65 is: 5,749.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.65 : 5,749.58 = 4,114.65 : x
  2. Step 2: Convert to fraction form
    4,114.65/5,749.58 = 4,114.65/x
  3. Step 3: Cross multiply
    4,114.65x = 5,749.58 × 4,114.65
  4. Step 4: Simplify right side
    4,114.65x = 23,657,488.77
  5. Step 5: Solve for x
    x = 23,657,488.77/4,114.65
  6. Step 6: Final answer
    x = 5,749.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.