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Finding the Fourth Proportional to 4,037.76, 6,056.72 and 1,264.32

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Solution

The fourth proportional to 4,037.76, 6,056.72 and 1,264.32 is: 1,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037.76 : 6,056.72 = 1,264.32 : x
  2. Step 2: Convert to fraction form
    4,037.76/6,056.72 = 1,264.32/x
  3. Step 3: Cross multiply
    4,037.76x = 6,056.72 × 1,264.32
  4. Step 4: Simplify right side
    4,037.76x = 7,657,632.23
  5. Step 5: Solve for x
    x = 7,657,632.23/4,037.76
  6. Step 6: Final answer
    x = 1,896.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.