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Finding the Fourth Proportional to 7,730.50, 11,594.40 and 3,570.15

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Solution

The fourth proportional to 7,730.50, 11,594.40 and 3,570.15 is: 5,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.50 : 11,594.40 = 3,570.15 : x
  2. Step 2: Convert to fraction form
    7,730.50/11,594.40 = 3,570.15/x
  3. Step 3: Cross multiply
    7,730.50x = 11,594.40 × 3,570.15
  4. Step 4: Simplify right side
    7,730.50x = 41,393,747.16
  5. Step 5: Solve for x
    x = 41,393,747.16/7,730.50
  6. Step 6: Final answer
    x = 5,354.60

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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.