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Finding the Fourth Proportional to 5,537.80, 7,642.74 and 5,365.72

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Solution

The fourth proportional to 5,537.80, 7,642.74 and 5,365.72 is: 7,405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.80 : 7,642.74 = 5,365.72 : x
  2. Step 2: Convert to fraction form
    5,537.80/7,642.74 = 5,365.72/x
  3. Step 3: Cross multiply
    5,537.80x = 7,642.74 × 5,365.72
  4. Step 4: Simplify right side
    5,537.80x = 41,008,802.87
  5. Step 5: Solve for x
    x = 41,008,802.87/5,537.80
  6. Step 6: Final answer
    x = 7,405.25

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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.