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Finding the Fourth Proportional to 4,994.93, 7,492.50 and 1,296.95

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Solution

The fourth proportional to 4,994.93, 7,492.50 and 1,296.95 is: 1,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,994.93 : 7,492.50 = 1,296.95 : x
  2. Step 2: Convert to fraction form
    4,994.93/7,492.50 = 1,296.95/x
  3. Step 3: Cross multiply
    4,994.93x = 7,492.50 × 1,296.95
  4. Step 4: Simplify right side
    4,994.93x = 9,717,360.41
  5. Step 5: Solve for x
    x = 9,717,360.41/4,994.93
  6. Step 6: Final answer
    x = 1,945.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.