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Finding the Fourth Proportional to 5,102.77, 7,042.10 and 2,977.53

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Solution

The fourth proportional to 5,102.77, 7,042.10 and 2,977.53 is: 4,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.77 : 7,042.10 = 2,977.53 : x
  2. Step 2: Convert to fraction form
    5,102.77/7,042.10 = 2,977.53/x
  3. Step 3: Cross multiply
    5,102.77x = 7,042.10 × 2,977.53
  4. Step 4: Simplify right side
    5,102.77x = 20,968,071.46
  5. Step 5: Solve for x
    x = 20,968,071.46/5,102.77
  6. Step 6: Final answer
    x = 4,109.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.