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Finding the Fourth Proportional to 4,654.71, 6,973.86 and 2,458.59

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Solution

The fourth proportional to 4,654.71, 6,973.86 and 2,458.59 is: 3,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.71 : 6,973.86 = 2,458.59 : x
  2. Step 2: Convert to fraction form
    4,654.71/6,973.86 = 2,458.59/x
  3. Step 3: Cross multiply
    4,654.71x = 6,973.86 × 2,458.59
  4. Step 4: Simplify right side
    4,654.71x = 17,145,862.46
  5. Step 5: Solve for x
    x = 17,145,862.46/4,654.71
  6. Step 6: Final answer
    x = 3,683.55

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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.