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Finding the Fourth Proportional to 4,070.93, 5,623.16 and 2,809.76

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Solution

The fourth proportional to 4,070.93, 5,623.16 and 2,809.76 is: 3,881.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.93 : 5,623.16 = 2,809.76 : x
  2. Step 2: Convert to fraction form
    4,070.93/5,623.16 = 2,809.76/x
  3. Step 3: Cross multiply
    4,070.93x = 5,623.16 × 2,809.76
  4. Step 4: Simplify right side
    4,070.93x = 15,799,687.88
  5. Step 5: Solve for x
    x = 15,799,687.88/4,070.93
  6. Step 6: Final answer
    x = 3,881.11

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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.