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Finding the Fourth Proportional to 3,762.07, 5,643.62 and 1,570.29

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Solution

The fourth proportional to 3,762.07, 5,643.62 and 1,570.29 is: 2,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.07 : 5,643.62 = 1,570.29 : x
  2. Step 2: Convert to fraction form
    3,762.07/5,643.62 = 1,570.29/x
  3. Step 3: Cross multiply
    3,762.07x = 5,643.62 × 1,570.29
  4. Step 4: Simplify right side
    3,762.07x = 8,862,120.05
  5. Step 5: Solve for x
    x = 8,862,120.05/3,762.07
  6. Step 6: Final answer
    x = 2,355.65

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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.