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Finding the Fourth Proportional to 4,670.57, 6,445.09 and 2,574.70

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Solution

The fourth proportional to 4,670.57, 6,445.09 and 2,574.70 is: 3,552.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.57 : 6,445.09 = 2,574.70 : x
  2. Step 2: Convert to fraction form
    4,670.57/6,445.09 = 2,574.70/x
  3. Step 3: Cross multiply
    4,670.57x = 6,445.09 × 2,574.70
  4. Step 4: Simplify right side
    4,670.57x = 16,594,173.22
  5. Step 5: Solve for x
    x = 16,594,173.22/4,670.57
  6. Step 6: Final answer
    x = 3,552.92

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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.