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Finding the Fourth Proportional to 4,667.42, 7,001.89 and 1,547.45

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Solution

The fourth proportional to 4,667.42, 7,001.89 and 1,547.45 is: 2,321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.42 : 7,001.89 = 1,547.45 : x
  2. Step 2: Convert to fraction form
    4,667.42/7,001.89 = 1,547.45/x
  3. Step 3: Cross multiply
    4,667.42x = 7,001.89 × 1,547.45
  4. Step 4: Simplify right side
    4,667.42x = 10,835,110.15
  5. Step 5: Solve for x
    x = 10,835,110.15/4,667.42
  6. Step 6: Final answer
    x = 2,321.43

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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.