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Finding the Fourth Proportional to 5,586.98, 8,378.70 and 1,888.40

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Solution

The fourth proportional to 5,586.98, 8,378.70 and 1,888.40 is: 2,832.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.98 : 8,378.70 = 1,888.40 : x
  2. Step 2: Convert to fraction form
    5,586.98/8,378.70 = 1,888.40/x
  3. Step 3: Cross multiply
    5,586.98x = 8,378.70 × 1,888.40
  4. Step 4: Simplify right side
    5,586.98x = 15,822,337.08
  5. Step 5: Solve for x
    x = 15,822,337.08/5,586.98
  6. Step 6: Final answer
    x = 2,832.00

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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.