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Finding the Fourth Proportional to 5,158.32, 7,732.77 and 1,870.70

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Solution

The fourth proportional to 5,158.32, 7,732.77 and 1,870.70 is: 2,804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.32 : 7,732.77 = 1,870.70 : x
  2. Step 2: Convert to fraction form
    5,158.32/7,732.77 = 1,870.70/x
  3. Step 3: Cross multiply
    5,158.32x = 7,732.77 × 1,870.70
  4. Step 4: Simplify right side
    5,158.32x = 14,465,647.16
  5. Step 5: Solve for x
    x = 14,465,647.16/5,158.32
  6. Step 6: Final answer
    x = 2,804.34

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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.