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Finding the Fourth Proportional to 4,751.40, 6,564.56 and 4,050.66

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Solution

The fourth proportional to 4,751.40, 6,564.56 and 4,050.66 is: 5,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.40 : 6,564.56 = 4,050.66 : x
  2. Step 2: Convert to fraction form
    4,751.40/6,564.56 = 4,050.66/x
  3. Step 3: Cross multiply
    4,751.40x = 6,564.56 × 4,050.66
  4. Step 4: Simplify right side
    4,751.40x = 26,590,800.61
  5. Step 5: Solve for x
    x = 26,590,800.61/4,751.40
  6. Step 6: Final answer
    x = 5,596.41

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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.