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Finding the Fourth Proportional to 5,984.65, 8,258.94 and 3,332

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Solution

The fourth proportional to 5,984.65, 8,258.94 and 3,332 is: 4,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.65 : 8,258.94 = 3,332 : x
  2. Step 2: Convert to fraction form
    5,984.65/8,258.94 = 3,332/x
  3. Step 3: Cross multiply
    5,984.65x = 8,258.94 × 3,332
  4. Step 4: Simplify right side
    5,984.65x = 27,518,788.08
  5. Step 5: Solve for x
    x = 27,518,788.08/5,984.65
  6. Step 6: Final answer
    x = 4,598.23

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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.