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Finding the Fourth Proportional to 5,411.81, 7,468.16 and 3,053.77

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Solution

The fourth proportional to 5,411.81, 7,468.16 and 3,053.77 is: 4,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.81 : 7,468.16 = 3,053.77 : x
  2. Step 2: Convert to fraction form
    5,411.81/7,468.16 = 3,053.77/x
  3. Step 3: Cross multiply
    5,411.81x = 7,468.16 × 3,053.77
  4. Step 4: Simplify right side
    5,411.81x = 22,806,009.02
  5. Step 5: Solve for x
    x = 22,806,009.02/5,411.81
  6. Step 6: Final answer
    x = 4,214.12

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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.