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Finding the Fourth Proportional to 4,907.76, 7,356.35 and 3,570.35

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Solution

The fourth proportional to 4,907.76, 7,356.35 and 3,570.35 is: 5,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.76 : 7,356.35 = 3,570.35 : x
  2. Step 2: Convert to fraction form
    4,907.76/7,356.35 = 3,570.35/x
  3. Step 3: Cross multiply
    4,907.76x = 7,356.35 × 3,570.35
  4. Step 4: Simplify right side
    4,907.76x = 26,264,716.37
  5. Step 5: Solve for x
    x = 26,264,716.37/4,907.76
  6. Step 6: Final answer
    x = 5,351.67

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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.