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Finding the Fourth Proportional to 4,681.72, 7,024.74 and 2,341.63

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Solution

The fourth proportional to 4,681.72, 7,024.74 and 2,341.63 is: 3,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.72 : 7,024.74 = 2,341.63 : x
  2. Step 2: Convert to fraction form
    4,681.72/7,024.74 = 2,341.63/x
  3. Step 3: Cross multiply
    4,681.72x = 7,024.74 × 2,341.63
  4. Step 4: Simplify right side
    4,681.72x = 16,449,341.93
  5. Step 5: Solve for x
    x = 16,449,341.93/4,681.72
  6. Step 6: Final answer
    x = 3,513.53

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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.