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Finding the Fourth Proportional to 4,684.52, 7,009.14 and 2,803.52

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Solution

The fourth proportional to 4,684.52, 7,009.14 and 2,803.52 is: 4,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.52 : 7,009.14 = 2,803.52 : x
  2. Step 2: Convert to fraction form
    4,684.52/7,009.14 = 2,803.52/x
  3. Step 3: Cross multiply
    4,684.52x = 7,009.14 × 2,803.52
  4. Step 4: Simplify right side
    4,684.52x = 19,650,264.17
  5. Step 5: Solve for x
    x = 19,650,264.17/4,684.52
  6. Step 6: Final answer
    x = 4,194.72

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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.