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Finding the Fourth Proportional to 4,854.40, 7,282.32 and 1,566.40

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Solution

The fourth proportional to 4,854.40, 7,282.32 and 1,566.40 is: 2,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.40 : 7,282.32 = 1,566.40 : x
  2. Step 2: Convert to fraction form
    4,854.40/7,282.32 = 1,566.40/x
  3. Step 3: Cross multiply
    4,854.40x = 7,282.32 × 1,566.40
  4. Step 4: Simplify right side
    4,854.40x = 11,407,026.05
  5. Step 5: Solve for x
    x = 11,407,026.05/4,854.40
  6. Step 6: Final answer
    x = 2,349.83

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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.