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Finding the Fourth Proportional to 5,605.74, 7,736.40 and 3,088.32

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Solution

The fourth proportional to 5,605.74, 7,736.40 and 3,088.32 is: 4,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.74 : 7,736.40 = 3,088.32 : x
  2. Step 2: Convert to fraction form
    5,605.74/7,736.40 = 3,088.32/x
  3. Step 3: Cross multiply
    5,605.74x = 7,736.40 × 3,088.32
  4. Step 4: Simplify right side
    5,605.74x = 23,892,478.85
  5. Step 5: Solve for x
    x = 23,892,478.85/5,605.74
  6. Step 6: Final answer
    x = 4,262.15

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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.