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Finding the Fourth Proportional to 3,886.76, 5,365.86 and 2,315.24

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Solution

The fourth proportional to 3,886.76, 5,365.86 and 2,315.24 is: 3,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.76 : 5,365.86 = 2,315.24 : x
  2. Step 2: Convert to fraction form
    3,886.76/5,365.86 = 2,315.24/x
  3. Step 3: Cross multiply
    3,886.76x = 5,365.86 × 2,315.24
  4. Step 4: Simplify right side
    3,886.76x = 12,423,253.71
  5. Step 5: Solve for x
    x = 12,423,253.71/3,886.76
  6. Step 6: Final answer
    x = 3,196.30

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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.