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Finding the Fourth Proportional to 5,853.24, 8,779.76 and 1,470.74

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Solution

The fourth proportional to 5,853.24, 8,779.76 and 1,470.74 is: 2,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.24 : 8,779.76 = 1,470.74 : x
  2. Step 2: Convert to fraction form
    5,853.24/8,779.76 = 1,470.74/x
  3. Step 3: Cross multiply
    5,853.24x = 8,779.76 × 1,470.74
  4. Step 4: Simplify right side
    5,853.24x = 12,912,744.22
  5. Step 5: Solve for x
    x = 12,912,744.22/5,853.24
  6. Step 6: Final answer
    x = 2,206.08

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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.