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Finding the Fourth Proportional to 4,312.95, 6,482.36 and 3,577.40

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Solution

The fourth proportional to 4,312.95, 6,482.36 and 3,577.40 is: 5,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.95 : 6,482.36 = 3,577.40 : x
  2. Step 2: Convert to fraction form
    4,312.95/6,482.36 = 3,577.40/x
  3. Step 3: Cross multiply
    4,312.95x = 6,482.36 × 3,577.40
  4. Step 4: Simplify right side
    4,312.95x = 23,189,995.50
  5. Step 5: Solve for x
    x = 23,189,995.50/4,312.95
  6. Step 6: Final answer
    x = 5,376.83

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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.