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Finding the Fourth Proportional to 5,370.51, 7,411.95 and 3,381

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Solution

The fourth proportional to 5,370.51, 7,411.95 and 3,381 is: 4,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.51 : 7,411.95 = 3,381 : x
  2. Step 2: Convert to fraction form
    5,370.51/7,411.95 = 3,381/x
  3. Step 3: Cross multiply
    5,370.51x = 7,411.95 × 3,381
  4. Step 4: Simplify right side
    5,370.51x = 25,059,802.95
  5. Step 5: Solve for x
    x = 25,059,802.95/5,370.51
  6. Step 6: Final answer
    x = 4,666.19

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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.