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Finding the Fourth Proportional to 3,461.84, 4,751.76 and 3,080.48

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Solution

The fourth proportional to 3,461.84, 4,751.76 and 3,080.48 is: 4,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.84 : 4,751.76 = 3,080.48 : x
  2. Step 2: Convert to fraction form
    3,461.84/4,751.76 = 3,080.48/x
  3. Step 3: Cross multiply
    3,461.84x = 4,751.76 × 3,080.48
  4. Step 4: Simplify right side
    3,461.84x = 14,637,701.64
  5. Step 5: Solve for x
    x = 14,637,701.64/3,461.84
  6. Step 6: Final answer
    x = 4,228.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.