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Finding the Fourth Proportional to 6,482.90, 9,724.32 and 2,590.04

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Solution

The fourth proportional to 6,482.90, 9,724.32 and 2,590.04 is: 3,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.90 : 9,724.32 = 2,590.04 : x
  2. Step 2: Convert to fraction form
    6,482.90/9,724.32 = 2,590.04/x
  3. Step 3: Cross multiply
    6,482.90x = 9,724.32 × 2,590.04
  4. Step 4: Simplify right side
    6,482.90x = 25,186,377.77
  5. Step 5: Solve for x
    x = 25,186,377.77/6,482.90
  6. Step 6: Final answer
    x = 3,885.05

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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.