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Finding the Fourth Proportional to 4,071.64, 5,618.10 and 2,302.78

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Solution

The fourth proportional to 4,071.64, 5,618.10 and 2,302.78 is: 3,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.64 : 5,618.10 = 2,302.78 : x
  2. Step 2: Convert to fraction form
    4,071.64/5,618.10 = 2,302.78/x
  3. Step 3: Cross multiply
    4,071.64x = 5,618.10 × 2,302.78
  4. Step 4: Simplify right side
    4,071.64x = 12,937,248.32
  5. Step 5: Solve for x
    x = 12,937,248.32/4,071.64
  6. Step 6: Final answer
    x = 3,177.40

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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.