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Finding the Fourth Proportional to 3,700.80, 5,106.48 and 2,373.84

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Solution

The fourth proportional to 3,700.80, 5,106.48 and 2,373.84 is: 3,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.80 : 5,106.48 = 2,373.84 : x
  2. Step 2: Convert to fraction form
    3,700.80/5,106.48 = 2,373.84/x
  3. Step 3: Cross multiply
    3,700.80x = 5,106.48 × 2,373.84
  4. Step 4: Simplify right side
    3,700.80x = 12,121,966.48
  5. Step 5: Solve for x
    x = 12,121,966.48/3,700.80
  6. Step 6: Final answer
    x = 3,275.50

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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.