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Finding the Fourth Proportional to 5,296.45, 7,907.06 and 4,713.25

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Solution

The fourth proportional to 5,296.45, 7,907.06 and 4,713.25 is: 7,036.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.45 : 7,907.06 = 4,713.25 : x
  2. Step 2: Convert to fraction form
    5,296.45/7,907.06 = 4,713.25/x
  3. Step 3: Cross multiply
    5,296.45x = 7,907.06 × 4,713.25
  4. Step 4: Simplify right side
    5,296.45x = 37,267,950.55
  5. Step 5: Solve for x
    x = 37,267,950.55/5,296.45
  6. Step 6: Final answer
    x = 7,036.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.