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Finding the Fourth Proportional to 4,667.84, 7,001.76 and 2,070.08

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Solution

The fourth proportional to 4,667.84, 7,001.76 and 2,070.08 is: 3,105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.84 : 7,001.76 = 2,070.08 : x
  2. Step 2: Convert to fraction form
    4,667.84/7,001.76 = 2,070.08/x
  3. Step 3: Cross multiply
    4,667.84x = 7,001.76 × 2,070.08
  4. Step 4: Simplify right side
    4,667.84x = 14,494,203.34
  5. Step 5: Solve for x
    x = 14,494,203.34/4,667.84
  6. Step 6: Final answer
    x = 3,105.12

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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.