Home / 4,031.76-5,564.16-2,263.14

Finding the Fourth Proportional to 4,031.76, 5,564.16 and 2,263.14

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Solution

The fourth proportional to 4,031.76, 5,564.16 and 2,263.14 is: 3,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.76 : 5,564.16 = 2,263.14 : x
  2. Step 2: Convert to fraction form
    4,031.76/5,564.16 = 2,263.14/x
  3. Step 3: Cross multiply
    4,031.76x = 5,564.16 × 2,263.14
  4. Step 4: Simplify right side
    4,031.76x = 12,592,473.06
  5. Step 5: Solve for x
    x = 12,592,473.06/4,031.76
  6. Step 6: Final answer
    x = 3,123.32

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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.