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Finding the Fourth Proportional to 3,065.76, 4,596 and 1,116.64

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Solution

The fourth proportional to 3,065.76, 4,596 and 1,116.64 is: 1,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.76 : 4,596 = 1,116.64 : x
  2. Step 2: Convert to fraction form
    3,065.76/4,596 = 1,116.64/x
  3. Step 3: Cross multiply
    3,065.76x = 4,596 × 1,116.64
  4. Step 4: Simplify right side
    3,065.76x = 5,132,077.44
  5. Step 5: Solve for x
    x = 5,132,077.44/3,065.76
  6. Step 6: Final answer
    x = 1,674.00

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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.