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Finding the Fourth Proportional to 4,465.29, 6,698.26 and 1,503.74

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Solution

The fourth proportional to 4,465.29, 6,698.26 and 1,503.74 is: 2,255.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.29 : 6,698.26 = 1,503.74 : x
  2. Step 2: Convert to fraction form
    4,465.29/6,698.26 = 1,503.74/x
  3. Step 3: Cross multiply
    4,465.29x = 6,698.26 × 1,503.74
  4. Step 4: Simplify right side
    4,465.29x = 10,072,441.49
  5. Step 5: Solve for x
    x = 10,072,441.49/4,465.29
  6. Step 6: Final answer
    x = 2,255.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.