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Finding the Fourth Proportional to 3,602.99, 4,971.91 and 2,111.17

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Solution

The fourth proportional to 3,602.99, 4,971.91 and 2,111.17 is: 2,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.99 : 4,971.91 = 2,111.17 : x
  2. Step 2: Convert to fraction form
    3,602.99/4,971.91 = 2,111.17/x
  3. Step 3: Cross multiply
    3,602.99x = 4,971.91 × 2,111.17
  4. Step 4: Simplify right side
    3,602.99x = 10,496,547.23
  5. Step 5: Solve for x
    x = 10,496,547.23/3,602.99
  6. Step 6: Final answer
    x = 2,913.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.