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Finding the Fourth Proportional to 4,689.48, 6,994.47 and 3,953.95

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Solution

The fourth proportional to 4,689.48, 6,994.47 and 3,953.95 is: 5,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.48 : 6,994.47 = 3,953.95 : x
  2. Step 2: Convert to fraction form
    4,689.48/6,994.47 = 3,953.95/x
  3. Step 3: Cross multiply
    4,689.48x = 6,994.47 × 3,953.95
  4. Step 4: Simplify right side
    4,689.48x = 27,655,784.66
  5. Step 5: Solve for x
    x = 27,655,784.66/4,689.48
  6. Step 6: Final answer
    x = 5,897.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.