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Finding the Fourth Proportional to 3,718.46, 5,570.46 and 2,070.02

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Solution

The fourth proportional to 3,718.46, 5,570.46 and 2,070.02 is: 3,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.46 : 5,570.46 = 2,070.02 : x
  2. Step 2: Convert to fraction form
    3,718.46/5,570.46 = 2,070.02/x
  3. Step 3: Cross multiply
    3,718.46x = 5,570.46 × 2,070.02
  4. Step 4: Simplify right side
    3,718.46x = 11,530,963.61
  5. Step 5: Solve for x
    x = 11,530,963.61/3,718.46
  6. Step 6: Final answer
    x = 3,101.01

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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.