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Finding the Fourth Proportional to 4,645.35, 6,410.88 and 3,070.71

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Solution

The fourth proportional to 4,645.35, 6,410.88 and 3,070.71 is: 4,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.35 : 6,410.88 = 3,070.71 : x
  2. Step 2: Convert to fraction form
    4,645.35/6,410.88 = 3,070.71/x
  3. Step 3: Cross multiply
    4,645.35x = 6,410.88 × 3,070.71
  4. Step 4: Simplify right side
    4,645.35x = 19,685,953.32
  5. Step 5: Solve for x
    x = 19,685,953.32/4,645.35
  6. Step 6: Final answer
    x = 4,237.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.