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Finding the Fourth Proportional to 3,602.48, 4,971.36 and 2,111.16

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Solution

The fourth proportional to 3,602.48, 4,971.36 and 2,111.16 is: 2,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.48 : 4,971.36 = 2,111.16 : x
  2. Step 2: Convert to fraction form
    3,602.48/4,971.36 = 2,111.16/x
  3. Step 3: Cross multiply
    3,602.48x = 4,971.36 × 2,111.16
  4. Step 4: Simplify right side
    3,602.48x = 10,495,336.38
  5. Step 5: Solve for x
    x = 10,495,336.38/3,602.48
  6. Step 6: Final answer
    x = 2,913.36

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Why These Related Problems?

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