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Finding the Fourth Proportional to 3,703.74, 5,116.95 and 3,509.34

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Solution

The fourth proportional to 3,703.74, 5,116.95 and 3,509.34 is: 4,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.74 : 5,116.95 = 3,509.34 : x
  2. Step 2: Convert to fraction form
    3,703.74/5,116.95 = 3,509.34/x
  3. Step 3: Cross multiply
    3,703.74x = 5,116.95 × 3,509.34
  4. Step 4: Simplify right side
    3,703.74x = 17,957,117.31
  5. Step 5: Solve for x
    x = 17,957,117.31/3,703.74
  6. Step 6: Final answer
    x = 4,848.37

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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.