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Finding the Fourth Proportional to 4,646.89, 6,971.55 and 1,725.49

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Solution

The fourth proportional to 4,646.89, 6,971.55 and 1,725.49 is: 2,588.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.89 : 6,971.55 = 1,725.49 : x
  2. Step 2: Convert to fraction form
    4,646.89/6,971.55 = 1,725.49/x
  3. Step 3: Cross multiply
    4,646.89x = 6,971.55 × 1,725.49
  4. Step 4: Simplify right side
    4,646.89x = 12,029,339.81
  5. Step 5: Solve for x
    x = 12,029,339.81/4,646.89
  6. Step 6: Final answer
    x = 2,588.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.