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Finding the Fourth Proportional to 5,158.58, 7,740.94 and 1,871.93

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Solution

The fourth proportional to 5,158.58, 7,740.94 and 1,871.93 is: 2,809.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.58 : 7,740.94 = 1,871.93 : x
  2. Step 2: Convert to fraction form
    5,158.58/7,740.94 = 1,871.93/x
  3. Step 3: Cross multiply
    5,158.58x = 7,740.94 × 1,871.93
  4. Step 4: Simplify right side
    5,158.58x = 14,490,449.75
  5. Step 5: Solve for x
    x = 14,490,449.75/5,158.58
  6. Step 6: Final answer
    x = 2,809.00

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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.