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Finding the Fourth Proportional to 5,355.64, 8,034.06 and 1,460.08

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Solution

The fourth proportional to 5,355.64, 8,034.06 and 1,460.08 is: 2,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.64 : 8,034.06 = 1,460.08 : x
  2. Step 2: Convert to fraction form
    5,355.64/8,034.06 = 1,460.08/x
  3. Step 3: Cross multiply
    5,355.64x = 8,034.06 × 1,460.08
  4. Step 4: Simplify right side
    5,355.64x = 11,730,370.32
  5. Step 5: Solve for x
    x = 11,730,370.32/5,355.64
  6. Step 6: Final answer
    x = 2,190.28

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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.