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Finding the Fourth Proportional to 3,509.76, 4,844.01 and 2,166.15

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Solution

The fourth proportional to 3,509.76, 4,844.01 and 2,166.15 is: 2,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.76 : 4,844.01 = 2,166.15 : x
  2. Step 2: Convert to fraction form
    3,509.76/4,844.01 = 2,166.15/x
  3. Step 3: Cross multiply
    3,509.76x = 4,844.01 × 2,166.15
  4. Step 4: Simplify right side
    3,509.76x = 10,492,852.26
  5. Step 5: Solve for x
    x = 10,492,852.26/3,509.76
  6. Step 6: Final answer
    x = 2,989.62

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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.