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Finding the Fourth Proportional to 5,687.76, 7,852.80 and 5,334.89

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Solution

The fourth proportional to 5,687.76, 7,852.80 and 5,334.89 is: 7,365.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.76 : 7,852.80 = 5,334.89 : x
  2. Step 2: Convert to fraction form
    5,687.76/7,852.80 = 5,334.89/x
  3. Step 3: Cross multiply
    5,687.76x = 7,852.80 × 5,334.89
  4. Step 4: Simplify right side
    5,687.76x = 41,893,804.93
  5. Step 5: Solve for x
    x = 41,893,804.93/5,687.76
  6. Step 6: Final answer
    x = 7,365.60

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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.