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Finding the Fourth Proportional to 4,647.74, 6,970.12 and 1,527.02

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Solution

The fourth proportional to 4,647.74, 6,970.12 and 1,527.02 is: 2,290.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.74 : 6,970.12 = 1,527.02 : x
  2. Step 2: Convert to fraction form
    4,647.74/6,970.12 = 1,527.02/x
  3. Step 3: Cross multiply
    4,647.74x = 6,970.12 × 1,527.02
  4. Step 4: Simplify right side
    4,647.74x = 10,643,508.70
  5. Step 5: Solve for x
    x = 10,643,508.70/4,647.74
  6. Step 6: Final answer
    x = 2,290.04

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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.