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Finding the Fourth Proportional to 3,133.41, 4,320 and 2,602.77

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Solution

The fourth proportional to 3,133.41, 4,320 and 2,602.77 is: 3,588.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.41 : 4,320 = 2,602.77 : x
  2. Step 2: Convert to fraction form
    3,133.41/4,320 = 2,602.77/x
  3. Step 3: Cross multiply
    3,133.41x = 4,320 × 2,602.77
  4. Step 4: Simplify right side
    3,133.41x = 11,243,966.40
  5. Step 5: Solve for x
    x = 11,243,966.40/3,133.41
  6. Step 6: Final answer
    x = 3,588.41

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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.