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Finding the Fourth Proportional to 3,735.74, 5,607.07 and 1,888.16

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Solution

The fourth proportional to 3,735.74, 5,607.07 and 1,888.16 is: 2,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.74 : 5,607.07 = 1,888.16 : x
  2. Step 2: Convert to fraction form
    3,735.74/5,607.07 = 1,888.16/x
  3. Step 3: Cross multiply
    3,735.74x = 5,607.07 × 1,888.16
  4. Step 4: Simplify right side
    3,735.74x = 10,587,045.29
  5. Step 5: Solve for x
    x = 10,587,045.29/3,735.74
  6. Step 6: Final answer
    x = 2,833.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.