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Finding the Fourth Proportional to 5,248.91, 7,867.80 and 1,738.01

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Solution

The fourth proportional to 5,248.91, 7,867.80 and 1,738.01 is: 2,605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.91 : 7,867.80 = 1,738.01 : x
  2. Step 2: Convert to fraction form
    5,248.91/7,867.80 = 1,738.01/x
  3. Step 3: Cross multiply
    5,248.91x = 7,867.80 × 1,738.01
  4. Step 4: Simplify right side
    5,248.91x = 13,674,275.74
  5. Step 5: Solve for x
    x = 13,674,275.74/5,248.91
  6. Step 6: Final answer
    x = 2,605.17

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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.