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Finding the Fourth Proportional to 5,246.85, 7,870.68 and 1,549.00

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Solution

The fourth proportional to 5,246.85, 7,870.68 and 1,549.00 is: 2,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.85 : 7,870.68 = 1,549.00 : x
  2. Step 2: Convert to fraction form
    5,246.85/7,870.68 = 1,549.00/x
  3. Step 3: Cross multiply
    5,246.85x = 7,870.68 × 1,549.00
  4. Step 4: Simplify right side
    5,246.85x = 12,191,663.64
  5. Step 5: Solve for x
    x = 12,191,663.64/5,246.85
  6. Step 6: Final answer
    x = 2,323.62

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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.