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Finding the Fourth Proportional to 3,675.56, 5,070 and 2,416.76

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Solution

The fourth proportional to 3,675.56, 5,070 and 2,416.76 is: 3,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.56 : 5,070 = 2,416.76 : x
  2. Step 2: Convert to fraction form
    3,675.56/5,070 = 2,416.76/x
  3. Step 3: Cross multiply
    3,675.56x = 5,070 × 2,416.76
  4. Step 4: Simplify right side
    3,675.56x = 12,252,973.20
  5. Step 5: Solve for x
    x = 12,252,973.20/3,675.56
  6. Step 6: Final answer
    x = 3,333.63

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1.5x scale

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.