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Finding the Fourth Proportional to 5,038.58, 6,952.86 and 2,800.40

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Solution

The fourth proportional to 5,038.58, 6,952.86 and 2,800.40 is: 3,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.58 : 6,952.86 = 2,800.40 : x
  2. Step 2: Convert to fraction form
    5,038.58/6,952.86 = 2,800.40/x
  3. Step 3: Cross multiply
    5,038.58x = 6,952.86 × 2,800.40
  4. Step 4: Simplify right side
    5,038.58x = 19,470,789.14
  5. Step 5: Solve for x
    x = 19,470,789.14/5,038.58
  6. Step 6: Final answer
    x = 3,864.34

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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.