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Finding the Fourth Proportional to 4,166.64, 6,251.40 and 1,570.32

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Solution

The fourth proportional to 4,166.64, 6,251.40 and 1,570.32 is: 2,356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.64 : 6,251.40 = 1,570.32 : x
  2. Step 2: Convert to fraction form
    4,166.64/6,251.40 = 1,570.32/x
  3. Step 3: Cross multiply
    4,166.64x = 6,251.40 × 1,570.32
  4. Step 4: Simplify right side
    4,166.64x = 9,816,698.45
  5. Step 5: Solve for x
    x = 9,816,698.45/4,166.64
  6. Step 6: Final answer
    x = 2,356.02

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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.