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Finding the Fourth Proportional to 6,589.56, 9,878.74 and 2,888.98

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Solution

The fourth proportional to 6,589.56, 9,878.74 and 2,888.98 is: 4,331.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.56 : 9,878.74 = 2,888.98 : x
  2. Step 2: Convert to fraction form
    6,589.56/9,878.74 = 2,888.98/x
  3. Step 3: Cross multiply
    6,589.56x = 9,878.74 × 2,888.98
  4. Step 4: Simplify right side
    6,589.56x = 28,539,482.29
  5. Step 5: Solve for x
    x = 28,539,482.29/6,589.56
  6. Step 6: Final answer
    x = 4,331.01

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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.