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Finding the Fourth Proportional to 4,569.79, 6,853.62 and 1,283.20

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Solution

The fourth proportional to 4,569.79, 6,853.62 and 1,283.20 is: 1,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.79 : 6,853.62 = 1,283.20 : x
  2. Step 2: Convert to fraction form
    4,569.79/6,853.62 = 1,283.20/x
  3. Step 3: Cross multiply
    4,569.79x = 6,853.62 × 1,283.20
  4. Step 4: Simplify right side
    4,569.79x = 8,794,565.18
  5. Step 5: Solve for x
    x = 8,794,565.18/4,569.79
  6. Step 6: Final answer
    x = 1,924.50

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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.