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Finding the Fourth Proportional to 5,248.29, 7,873.65 and 1,738.16

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Solution

The fourth proportional to 5,248.29, 7,873.65 and 1,738.16 is: 2,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.29 : 7,873.65 = 1,738.16 : x
  2. Step 2: Convert to fraction form
    5,248.29/7,873.65 = 1,738.16/x
  3. Step 3: Cross multiply
    5,248.29x = 7,873.65 × 1,738.16
  4. Step 4: Simplify right side
    5,248.29x = 13,685,663.48
  5. Step 5: Solve for x
    x = 13,685,663.48/5,248.29
  6. Step 6: Final answer
    x = 2,607.64

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1.5x scale

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.