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Finding the Fourth Proportional to 4,803.65, 7,207.71 and 2,030.97

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Solution

The fourth proportional to 4,803.65, 7,207.71 and 2,030.97 is: 3,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.65 : 7,207.71 = 2,030.97 : x
  2. Step 2: Convert to fraction form
    4,803.65/7,207.71 = 2,030.97/x
  3. Step 3: Cross multiply
    4,803.65x = 7,207.71 × 2,030.97
  4. Step 4: Simplify right side
    4,803.65x = 14,638,642.78
  5. Step 5: Solve for x
    x = 14,638,642.78/4,803.65
  6. Step 6: Final answer
    x = 3,047.40

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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.