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Finding the Fourth Proportional to 4,298.08, 5,931.70 and 2,410.08

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Solution

The fourth proportional to 4,298.08, 5,931.70 and 2,410.08 is: 3,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.08 : 5,931.70 = 2,410.08 : x
  2. Step 2: Convert to fraction form
    4,298.08/5,931.70 = 2,410.08/x
  3. Step 3: Cross multiply
    4,298.08x = 5,931.70 × 2,410.08
  4. Step 4: Simplify right side
    4,298.08x = 14,295,871.54
  5. Step 5: Solve for x
    x = 14,295,871.54/4,298.08
  6. Step 6: Final answer
    x = 3,326.11

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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.