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Finding the Fourth Proportional to 3,437.86, 4,746.72 and 2,113.36

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Solution

The fourth proportional to 3,437.86, 4,746.72 and 2,113.36 is: 2,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.86 : 4,746.72 = 2,113.36 : x
  2. Step 2: Convert to fraction form
    3,437.86/4,746.72 = 2,113.36/x
  3. Step 3: Cross multiply
    3,437.86x = 4,746.72 × 2,113.36
  4. Step 4: Simplify right side
    3,437.86x = 10,031,528.18
  5. Step 5: Solve for x
    x = 10,031,528.18/3,437.86
  6. Step 6: Final answer
    x = 2,917.96

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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.