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Finding the Fourth Proportional to 4,784.65, 6,602.88 and 2,660.31

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Solution

The fourth proportional to 4,784.65, 6,602.88 and 2,660.31 is: 3,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.65 : 6,602.88 = 2,660.31 : x
  2. Step 2: Convert to fraction form
    4,784.65/6,602.88 = 2,660.31/x
  3. Step 3: Cross multiply
    4,784.65x = 6,602.88 × 2,660.31
  4. Step 4: Simplify right side
    4,784.65x = 17,565,707.69
  5. Step 5: Solve for x
    x = 17,565,707.69/4,784.65
  6. Step 6: Final answer
    x = 3,671.26

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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.