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Finding the Fourth Proportional to 4,755.02, 7,133.76 and 1,980.77

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Solution

The fourth proportional to 4,755.02, 7,133.76 and 1,980.77 is: 2,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.02 : 7,133.76 = 1,980.77 : x
  2. Step 2: Convert to fraction form
    4,755.02/7,133.76 = 1,980.77/x
  3. Step 3: Cross multiply
    4,755.02x = 7,133.76 × 1,980.77
  4. Step 4: Simplify right side
    4,755.02x = 14,130,302.13
  5. Step 5: Solve for x
    x = 14,130,302.13/4,755.02
  6. Step 6: Final answer
    x = 2,971.66

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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.